2564639564 has 48 divisors (see below), whose sum is σ = 4775500800. Its totient is φ = 1202604480.

The previous prime is 2564639557. The next prime is 2564639569. The reversal of 2564639564 is 4659364652.

2564639564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2564639564² = 13154752186468220192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564639569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298882 + ... + 1300854.

It is an arithmetic number, because the mean of its divisors is an integer number (99489600).

Almost surely, 2^2564639564 is an apocalyptic number.

It is an amenable number.

2564639564 is a deficient number, since it is larger than the sum of its proper divisors (2210861236).

2564639564 is a wasteful number, since it uses less digits than its factorization.

2564639564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2268 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The square root of 2564639564 is about 50642.2705257179. The cubic root of 2564639564 is about 1368.8066693133.

The spelling of 2564639564 in words is "two billion, five hundred sixty-four million, six hundred thirty-nine thousand, five hundred sixty-four".