2564655264 has 96 divisors (see below), whose sum is σ = 7873992000. Its totient is φ = 809885952.

The previous prime is 2564655253. The next prime is 2564655271. The reversal of 2564655264 is 4625564652.

2564655264 is a `hidden beast` number, since 2 + 5 + 64 + 65 + 526 + 4 = 666.

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

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, 61699 + ... + 94530.

It is an arithmetic number, because the mean of its divisors is an integer number (82020750).

Almost surely, 2^2564655264 is an apocalyptic number.

2564655264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2564655264 is an abundant number, since it is smaller than the sum of its proper divisors (5309336736).

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

2564655264 is a wasteful number, since it uses less digits than its factorization.

2564655264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156267 (or 156253 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2564655264 is about 50642.4255343284. The cubic root of 2564655264 is about 1368.8094624571.

The spelling of 2564655264 in words is "two billion, five hundred sixty-four million, six hundred fifty-five thousand, two hundred sixty-four".