2564212931856 has 105 divisors (see below), whose sum is σ = 7449338731431. Its totient is φ = 854679996576.

The previous prime is 2564212931851. The next prime is 2564212931857. The reversal of 2564212931856 is 6581392124652.

The square root of 2564212931856 is 1601316.

It is a perfect power (a square), and thus also a powerful number.

2564212931856 is a `hidden beast` number, since 2 + 5 + 64 + 212 + 9 + 318 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2564212931851) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 172934715 + ... + 172949541.

Almost surely, 2^{2564212931856} is an apocalyptic number.

2564212931856 is the 1601316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564212931856

2564212931856 is an abundant number, since it is smaller than the sum of its proper divisors (4885125799575).

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

2564212931856 is an frugal number, since it uses more digits than its factorization.

2564212931856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29680 (or 14832 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 2564212931856 in words is "two trillion, five hundred sixty-four billion, two hundred twelve million, nine hundred thirty-one thousand, eight hundred fifty-six".