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2040057888 = 253119412053
BaseRepresentation
bin111100110011000…
…1101000000100000
312021011201200022120
41321212031000200
513134223323023
6534233304240
7101361130431
oct17146150040
95234650276
102040057888
11957617760
1248b265080
1326686135b
14154d25488
15be1768e3
hex7998d020

2040057888 has 96 divisors (see below), whose sum is σ = 5851040832. Its totient is φ = 617241600.

The previous prime is 2040057857. The next prime is 2040057917. The reversal of 2040057888 is 8887500402.

It is a Cunningham number, because it is equal to 451672-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 992670 + ... + 994722.

It is an arithmetic number, because the mean of its divisors is an integer number (60948342).

Almost surely, 22040057888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925520416).

2040057888 is an abundant number, since it is smaller than the sum of its proper divisors (3810982944).

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

2040057888 is a wasteful number, since it uses less digits than its factorization.

2040057888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 2040057888 is about 45166.9999889300. Note that the first 4 decimals coincide. The cubic root of 2040057888 is about 1268.2771372597.

The spelling of 2040057888 in words is "two billion, forty million, fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 941 1056 1882 2053 2823 3764 4106 5646 6159 7528 8212 10351 11292 12318 15056 16424 20702 22583 22584 24636 30112 31053 32848 41404 45166 45168 49272 62106 65696 67749 82808 90332 90336 98544 124212 135498 165616 180664 197088 248424 270996 331232 361328 496848 541992 722656 993696 1083984 1931873 2167968 3863746 5795619 7727492 11591238 15454984 21250603 23182476 30909968 42501206 46364952 61819936 63751809 85002412 92729904 127503618 170004824 185459808 255007236 340009648 510014472 680019296 1020028944 2040057888