2564460936 has 24 divisors (see below), whose sum is σ = 6945415230. Its totient is φ = 854820288.

The previous prime is 2564460929. The next prime is 2564460959. The reversal of 2564460936 is 6390644652.

2564460936 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 4 + 609 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1814248836 + 750212100 = 42594^2 + 27390^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2564460891 and 2564460900.

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 5 ways as a sum of consecutive naturals, for example, 17808685 + ... + 17808828.

Almost surely, 2^2564460936 is an apocalyptic number.

It is an amenable number.

2564460936 is an abundant number, since it is smaller than the sum of its proper divisors (4380954294).

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

2564460936 is a wasteful number, since it uses less digits than its factorization.

2564460936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35617525 (or 35617518 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2564460936 is about 50640.5068695012. The cubic root of 2564460936 is about 1368.7748892953.

The spelling of 2564460936 in words is "two billion, five hundred sixty-four million, four hundred sixty thousand, nine hundred thirty-six".