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2066042000 = 24531193911
BaseRepresentation
bin111101100100101…
…0100110010010000
312022222121210211002
41323021110302100
513212401321000
6541002241132
7102125032031
oct17311246220
95288553732
102066042000
11970254a30
12497ab61a8
1326c05b479
1415856aa88
15c15aa8d5
hex7b254c90

2066042000 has 80 divisors (see below), whose sum is σ = 5449901184. Its totient is φ = 751280000.

The previous prime is 2066041997. The next prime is 2066042039. The reversal of 2066042000 is 2406602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24956 + ... + 68955.

Almost surely, 22066042000 is an apocalyptic number.

2066042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066042000 is an abundant number, since it is smaller than the sum of its proper divisors (3383859184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2066042000 is a wasteful number, since it uses less digits than its factorization.

2066042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93945 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2066042000 is about 45453.7347200425. The cubic root of 2066042000 is about 1273.6390964289.

Adding to 2066042000 its reverse (2406602), we get a palindrome (2068448602).

The spelling of 2066042000 in words is "two billion, sixty-six million, forty-two thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 93911 187822 375644 469555 751288 939110 1033021 1502576 1878220 2066042 2347775 3756440 4132084 4695550 5165105 7512880 8264168 9391100 10330210 11738875 16528336 18782200 20660420 23477750 25825525 37564400 41320840 46955500 51651050 82641680 93911000 103302100 129127625 187822000 206604200 258255250 413208400 516510500 1033021000 2066042000