2564100084 has 96 divisors (see below), whose sum is σ = 7751188480. Its totient is φ = 640649088.

The previous prime is 2564100067. The next prime is 2564100109. The reversal of 2564100084 is 4800014652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41044 + ... + 82539.

Almost surely, 2^2564100084 is an apocalyptic number.

It is an amenable number.

2564100084 is an abundant number, since it is smaller than the sum of its proper divisors (5187088396).

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

2564100084 is a wasteful number, since it uses less digits than its factorization.

2564100084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123629 (or 123627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2564100084 is about 50636.9438651268. The cubic root of 2564100084 is about 1368.7106849866.

The spelling of 2564100084 in words is "two billion, five hundred sixty-four million, one hundred thousand, eighty-four".