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eban numbers
A number  $n$  is called eban if its name (in English) does not contain the letter "e".

It is easy to see that the eban numbers are all even and their last two digits must be one of 02, 04, 06, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, or 66.

Eban numbers belong to the same family of aban numbers, iban numbers, oban numbers, and uban numbers. All quite boring, if I may speak my mind...

As for the above sets, the definition is not really precise, since large numbers may have non-standard names.

The first eban numbers are 2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, 66, 2000, 2002 more terms

Eban numbers can also be... (you may click on names or numbers and on + to get more values)

ABA 32 50 64 + 6000000000000 aban 30 32 34 + 66066000066 abundant 30 36 40 + 50000000 Achilles 2000 4000 32000 + 50000000000000 admirable 30 40 42 + 66064062 alternating 30 32 34 + 56 amenable 32 36 40 + 66066064 apocalyptic 2000 2002 2004 + 30000 arithmetic 30 42 44 + 6066066 Bell 52 binomial 36 56 66 + 40002040 c.nonagonal 36046 40002040 32064036004000 c.pentagonal 40006 50056 40030006 + 40000030000006 c.triangular 46 64 30034 cake 42 64 Catalan 42 congruent 30 34 46 + 6066064 constructible 30 32 34 + 2056 cube 64 64000 64000000 + 64000000000000 Cunningham 50 32040 32042 + 32042064046042 Curzon 30 50 54 + 66064046 d-powerful 2062 2064 32052 + 4052036 decagonal 52 4000 30066030 deficient 32 34 44 + 6066064 dig.balanced 42 44 50 + 66066062 Duffinian 32 36 50 + 4032064 economical 32 64 2000 + 6064000 emirpimes 62 2042 2062 + 66056066 equidigital 32 64 2000 + 6064000 esthetic 32 34 54 56 Eulerian 66 2036 evil 30 34 36 + 66066066 fibodiv 52040 Fibonacci 34 Friedman 64036 frugal 32000 40000 50000 + 66000000 gapful 2000 2002 2040 + 66066066066 Giuga 30 happy 32 44 2030 + 6066050 Harshad 30 36 40 + 6066066060 heptagonal 34 46036 hexagonal 66 46056 66066 highly composite 36 60 hoax 2064 4054 6054 + 66066032 house 32 iban 40 42 44 + 44044 idoneal 30 40 42 60 impolite 32 64 inconsummate 62 2042 2046 + 66062 interprime 30 34 42 + 66064046 Jordan-Polya 32 36 64 junction 2002 2004 2006 + 66066036 katadrome 30 32 40 + 64 Leyland 32 54 Lynch-Bell 36 magic 34 2056 32000002000 magnanimous 30 32 34 + 56 metadrome 34 36 46 56 modest 46 2006 2030 + 66066066 Moran 42 4044 6062 + 66002060 nialpdrome 30 32 40 + 66000000000000 nonagonal 46 34056 46000 4042000 nude 36 44 66 O'Halloran 36 44 60 oban 30 36 50 + 66 octagonal 40 odious 32 42 44 + 66066064 palindromic 44 66 2002 + 66066066066066 pancake 46 56 4006 + 6030064000066 panconsummate 34 36 40 54 pandigital 2054 30040 30050 + 66060044 partition 30 42 56 pentagonal 4030 pernicious 34 36 40 + 6066064 plaindrome 34 36 44 + 66 power 32 36 64 + 36000000000000 powerful 32 36 64 + 64032004000000 practical 30 32 36 + 6066060 prim.abundant 30 42 56 + 66064062 primorial 30 30030 pronic 30 42 56 + 64000040000006 pseudoperfect 30 36 40 + 66066 repdigit 44 66 repunit 40 52060 Ruth-Aaron 50 Saint-Exupery 60 2040 60000 + 60000000000000 self 42 64 2044 + 66066066 semiprime 34 46 62 + 66064034 sliding 52 2000 2050 + 52000000000000 Smith 4054 6036 6054 + 66036036 sphenic 30 42 66 + 66066062 square 36 64 40000 + 64032004000000 subfactorial 44 super Niven 30 36 40 + 46006002000 super-d 2046 4056 30036 + 6066054 superabundant 36 60 tau 36 40 56 + 66064044 tetrahedral 56 4060 6044060 tetranacci 56 triangular 36 66 36046 + 32064036004000 tribonacci 44 uban 30 32 36 + 66066066000066 Ulam 36 62 2032 + 6066046 undulating 4040 6060 unprimeable 2040 2042 2044 + 6066056 untouchable 52 2036 2050 + 66066 upside-down 46 64 wasteful 30 34 36 + 6066066 weird 4030 Zuckerman 36 Zumkeller 30 40 42 + 66066 zygodrome 44 66 44000 + 66000066000066