2564337128 has 32 divisors (see below), whose sum is σ = 5184648000. Its totient is φ = 1185056640.

The previous prime is 2564337073. The next prime is 2564337203. The reversal of 2564337128 is 8217334652.

2564337128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 199508 + ... + 211971.

It is an arithmetic number, because the mean of its divisors is an integer number (162020250).

Almost surely, 2^2564337128 is an apocalyptic number.

It is an amenable number.

2564337128 is an abundant number, since it is smaller than the sum of its proper divisors (2620310872).

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

2564337128 is a wasteful number, since it uses less digits than its factorization.

2564337128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411545 (or 411541 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 2564337128 is about 50639.2844341229. The cubic root of 2564337128 is about 1368.7528615329.

The spelling of 2564337128 in words is "two billion, five hundred sixty-four million, three hundred thirty-seven thousand, one hundred twenty-eight".