2564611164 has 36 divisors (see below), whose sum is σ = 6574080240. Its totient is φ = 842829120.

The previous prime is 2564611123. The next prime is 2564611199. The reversal of 2564611164 is 4611164652.

2564611164 is a `hidden beast` number, since 2 + 5 + 646 + 1 + 1 + 1 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499129 + ... + 504240.

It is an arithmetic number, because the mean of its divisors is an integer number (182613340).

Almost surely, 2^2564611164 is an apocalyptic number.

It is an amenable number.

2564611164 is an abundant number, since it is smaller than the sum of its proper divisors (4009469076).

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

2564611164 is a wasteful number, since it uses less digits than its factorization.

2564611164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003450 (or 1003445 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2564611164 is about 50641.9901267713. The cubic root of 2564611164 is about 1368.8016167186.

The spelling of 2564611164 in words is "two billion, five hundred sixty-four million, six hundred eleven thousand, one hundred sixty-four".