2564202564 has 288 divisors, whose sum is σ = 8668348416. Its totient is φ = 619280640.

The previous prime is 2564202523. The next prime is 2564202569. The reversal of 2564202564 is 4652024652.

2564202564 is a `hidden beast` number, since 2 + 5 + 642 + 0 + 2 + 5 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2564202569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358429 + ... + 2359515.

It is an arithmetic number, because the mean of its divisors is an integer number (30098432).

Almost surely, 2^2564202564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564202564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334174208).

2564202564 is an abundant number, since it is smaller than the sum of its proper divisors (6104145852).

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

2564202564 is a wasteful number, since it uses less digits than its factorization.

2564202564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2564202564 is about 50637.9557644264. The cubic root of 2564202564 is about 1368.7289192725.

The spelling of 2564202564 in words is "two billion, five hundred sixty-four million, two hundred two thousand, five hundred sixty-four".