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2466020634 = 2371144312049
BaseRepresentation
bin1001001011111100…
…0111110100011010
320100212020211100120
42102333013310122
520022300130014
61044411214110
7115052554350
oct22277076432
96325224316
102466020634
111056005890
12589a47336
13303b9310c
141957277d0
15e6767ba9
hex92fc7d1a

2466020634 has 64 divisors (see below), whose sum is σ = 6163430400. Its totient is φ = 639025920.

The previous prime is 2466020593. The next prime is 2466020639. The reversal of 2466020634 is 4360206642.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2466020595 and 2466020604.

It is not an unprimeable number, because it can be changed into a prime (2466020639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198642 + ... + 210690.

It is an arithmetic number, because the mean of its divisors is an integer number (96303600).

Almost surely, 22466020634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466020634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081715200).

2466020634 is an abundant number, since it is smaller than the sum of its proper divisors (3697409766).

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

2466020634 is a wasteful number, since it uses less digits than its factorization.

2466020634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515.

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2466020634 is about 49659.0438288938. The cubic root of 2466020634 is about 1351.0317917321.

The spelling of 2466020634 in words is "two billion, four hundred sixty-six million, twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 443 462 886 1329 2658 3101 4873 6202 9303 9746 12049 14619 18606 24098 29238 34111 36147 68222 72294 84343 102333 132539 168686 204666 253029 265078 397617 506058 795234 927773 1855546 2783319 5337707 5566638 10675414 16013121 32026242 37363949 58714777 74727898 112091847 117429554 176144331 224183694 352288662 411003439 822006878 1233010317 2466020634