2564341056 has 84 divisors (see below), whose sum is σ = 7506687552. Its totient is φ = 836584704.

The previous prime is 2564341051. The next prime is 2564341063. The reversal of 2564341056 is 6501434652.

2564341056 is a `hidden beast` number, since 2 + 5 + 643 + 4 + 1 + 0 + 5 + 6 = 666.

It is a super-4 number, since 4×2564341056⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2564341056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564341051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20290 + ... + 74433.

It is an arithmetic number, because the mean of its divisors is an integer number (89365328).

Almost surely, 2^2564341056 is an apocalyptic number.

It is an amenable number.

2564341056 is an abundant number, since it is smaller than the sum of its proper divisors (4942346496).

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

2564341056 is a wasteful number, since it uses less digits than its factorization.

2564341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94788 (or 94775 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2564341056 is about 50639.3232182264. The cubic root of 2564341056 is about 1368.7535604086.

The spelling of 2564341056 in words is "two billion, five hundred sixty-four million, three hundred forty-one thousand, fifty-six".