2564337096 has 128 divisors (see below), whose sum is σ = 7426416000. Its totient is φ = 819092736.

The previous prime is 2564337073. The next prime is 2564337203. The reversal of 2564337096 is 6907334652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533070 + ... + 537858.

It is an arithmetic number, because the mean of its divisors is an integer number (58018875).

Almost surely, 2^2564337096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564337096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713208000).

2564337096 is an abundant number, since it is smaller than the sum of its proper divisors (4862078904).

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

2564337096 is a wasteful number, since it uses less digits than its factorization.

2564337096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2564337096 is about 50639.2841181627. The cubic root of 2564337096 is about 1368.7528558394.

The spelling of 2564337096 in words is "two billion, five hundred sixty-four million, three hundred thirty-seven thousand, ninety-six".