2564384624 has 20 divisors (see below), whose sum is σ = 5139823560. Its totient is φ = 1237978560.

The previous prime is 2564384591. The next prime is 2564384629. The reversal of 2564384624 is 4264834652.

It is a happy number.

2564384624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564384629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2762882 + ... + 2763809.

It is an arithmetic number, because the mean of its divisors is an integer number (256991178).

Almost surely, 2^2564384624 is an apocalyptic number.

It is an amenable number.

2564384624 is an abundant number, since it is smaller than the sum of its proper divisors (2575438936).

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

2564384624 is a wasteful number, since it uses less digits than its factorization.

2564384624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526728 (or 5526722 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The square root of 2564384624 is about 50639.7533959240. The cubic root of 2564384624 is about 1368.7613120448.

The spelling of 2564384624 in words is "two billion, five hundred sixty-four million, three hundred eighty-four thousand, six hundred twenty-four".