2564242812 has 48 divisors (see below), whose sum is σ = 6997939200. Its totient is φ = 809760240.

The previous prime is 2564242789. The next prime is 2564242823. The reversal of 2564242812 is 2182424652.

2564242812 is a `hidden beast` number, since 2 + 5 + 642 + 4 + 2 + 8 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622764 + ... + 626867.

It is an arithmetic number, because the mean of its divisors is an integer number (145790400).

Almost surely, 2^2564242812 is an apocalyptic number.

It is an amenable number.

2564242812 is an abundant number, since it is smaller than the sum of its proper divisors (4433696388).

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

2564242812 is a wasteful number, since it uses less digits than its factorization.

2564242812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249663 (or 1249655 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2564242812 is about 50638.3531722745. The cubic root of 2564242812 is about 1368.7360804739.

The spelling of 2564242812 in words is "two billion, five hundred sixty-four million, two hundred forty-two thousand, eight hundred twelve".