2564384537 has 32 divisors (see below), whose sum is σ = 3135888000. Its totient is φ = 2077158720.

The previous prime is 2564384521. The next prime is 2564384561. The reversal of 2564384537 is 7354834652.

2564384537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564384537 - 2⁴ = 2564384521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2564384491 and 2564384500.

It is not an unprimeable number, because it can be changed into a prime (2564384587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699014 + ... + 702672.

It is an arithmetic number, because the mean of its divisors is an integer number (97996500).

Almost surely, 2^2564384537 is an apocalyptic number.

It is an amenable number.

2564384537 is a deficient number, since it is larger than the sum of its proper divisors (571503463).

2564384537 is a wasteful number, since it uses less digits than its factorization.

2564384537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3712 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The square root of 2564384537 is about 50639.7525369151. The cubic root of 2564384537 is about 1368.7612965659.

The spelling of 2564384537 in words is "two billion, five hundred sixty-four million, three hundred eighty-four thousand, five hundred thirty-seven".