2564540672 has 36 divisors (see below), whose sum is σ = 5141731056. Its totient is φ = 1276592640.

The previous prime is 2564540651. The next prime is 2564540701. The reversal of 2564540672 is 2760454652.

It is a super-3 number, since 3×2564540672³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36047 + ... + 80177.

Almost surely, 2^2564540672 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 2564540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570865528).

2564540672 is an abundant number, since it is smaller than the sum of its proper divisors (2577190384).

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

2564540672 is an equidigital number, since it uses as much as digits as its factorization.

2564540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44374 (or 44360 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The square root of 2564540672 is about 50641.2941382821. The cubic root of 2564540672 is about 1368.7890754480.

The spelling of 2564540672 in words is "two billion, five hundred sixty-four million, five hundred forty thousand, six hundred seventy-two".