2564430344652 has 72 divisors (see below), whose sum is σ = 6642212811696. Its totient is φ = 769406000000.

The previous prime is 2564430344611. The next prime is 2564430344677.

2564430344652 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2564430344652⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8596599 + ... + 8889902.

It is an arithmetic number, because the mean of its divisors is an integer number (92252955718).

Almost surely, 2^{2564430344652} is an apocalyptic number.

2564430344652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564430344652 is an abundant number, since it is smaller than the sum of its proper divisors (4077782467044).

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

2564430344652 is a wasteful number, since it uses less digits than its factorization.

2564430344652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486631 (or 17486618 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 2564430344652 in words is "two trillion, five hundred sixty-four billion, four hundred thirty million, three hundred forty-four thousand, six hundred fifty-two".