2251712564000 has 96 divisors (see below), whose sum is σ = 5533031243376. Its totient is φ = 900591667200.

The previous prime is 2251712563993. The next prime is 2251712564069. The reversal of 2251712564000 is 4652171522.

It can be written as a sum of positive squares in 8 ways, for example, as 615226884496 + 1636485679504 = 784364^2 + 1279252^2 .

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 15 ways as a sum of consecutive naturals, for example, 48764924 + ... + 48811076.

Almost surely, 2^{2251712564000} is an apocalyptic number.

2251712564000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251712564000 is an abundant number, since it is smaller than the sum of its proper divisors (3281318679376).

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

2251712564000 is a wasteful number, since it uses less digits than its factorization.

2251712564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58375 (or 58357 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 2251712564000 in words is "two trillion, two hundred fifty-one billion, seven hundred twelve million, five hundred sixty-four thousand".