2564102564 has 12 divisors (see below), whose sum is σ = 4487831964. Its totient is φ = 1281864864.

The previous prime is 2564102557. The next prime is 2564102587. The reversal of 2564102564 is 4652014652.

It can be written as a sum of positive squares in 2 ways, for example, as 2334822400 + 229280164 = 48320^2 + 15142^2 .

It is a super-2 number, since 2×2564102564² = 13149243917422748192, which contains 22 as substring.

2564102564 is a modest number, since divided by 102564 gives 2564 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12959 + ... + 72774.

It is an arithmetic number, because the mean of its divisors is an integer number (373985997).

Almost surely, 2^2564102564 is an apocalyptic number.

It is an amenable number.

2564102564 is a deficient number, since it is larger than the sum of its proper divisors (1923729400).

2564102564 is a wasteful number, since it uses less digits than its factorization.

2564102564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93214 (or 93212 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 2564102564 is about 50636.9683531706. The cubic root of 2564102564 is about 1368.7111262592.

The spelling of 2564102564 in words is "two billion, five hundred sixty-four million, one hundred two thousand, five hundred sixty-four".