2564026824 has 32 divisors (see below), whose sum is σ = 6427944000. Its totient is φ = 852292032.

The previous prime is 2564026807. The next prime is 2564026837. The reversal of 2564026824 is 4286204652.

2564026824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140179 + ... + 157410.

It is an arithmetic number, because the mean of its divisors is an integer number (200873250).

Almost surely, 2^2564026824 is an apocalyptic number.

2564026824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2564026824 is an abundant number, since it is smaller than the sum of its proper divisors (3863917176).

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

2564026824 is a wasteful number, since it uses less digits than its factorization.

2564026824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297957 (or 297953 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2564026824 is about 50636.2204750710. The cubic root of 2564026824 is about 1368.6976495230.

The spelling of 2564026824 in words is "two billion, five hundred sixty-four million, twenty-six thousand, eight hundred twenty-four".