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2040564624 = 24373123941
BaseRepresentation
bin111100110100000…
…1000101110010000
312021012200102102120
41321220020232100
513134341031444
6534252214240
7101365341000
oct17150105620
95235612376
102040564624
1195793344a
1248b46a380
132669aabb7
14155018000
15be226b19
hex79a08b90

2040564624 has 80 divisors (see below), whose sum is σ = 6147523200. Its totient is φ = 583013760.

The previous prime is 2040564601. The next prime is 2040564661. The reversal of 2040564624 is 4264650402.

It is a super-2 number, since 2×20405646242 = 8327807969440522752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45507 + ... + 78434.

It is an arithmetic number, because the mean of its divisors is an integer number (76844040).

Almost surely, 22040564624 is an apocalyptic number.

2040564624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2040564624 is an abundant number, since it is smaller than the sum of its proper divisors (4106958576).

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

2040564624 is a wasteful number, since it uses less digits than its factorization.

2040564624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123973 (or 123953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2040564624 is about 45172.6092228465. The cubic root of 2040564624 is about 1268.3821389334.

The spelling of 2040564624 in words is "two billion, forty million, five hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 123941 247882 371823 495764 743646 867587 991528 1487292 1735174 1983056 2602761 2974584 3470348 5205522 5949168 6073109 6940696 10411044 12146218 13881392 18219327 20822088 24292436 36438654 41644176 42511763 48584872 72877308 85023526 97169744 127535289 145754616 170047052 255070578 291509232 340094104 510141156 680188208 1020282312 2040564624