2251515054400 has 42 divisors (see below), whose sum is σ = 5540134234670. Its totient is φ = 900606021120.

The previous prime is 2251515054389. The next prime is 2251515054421. The reversal of 2251515054400 is 44505151522.

It can be written as a sum of positive squares in 3 ways, for example, as 428302184704 + 1823212869696 = 654448^2 + 1350264^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 703596855 + ... + 703600054.

Almost surely, 2^{2251515054400} is an apocalyptic number.

2251515054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251515054400 is an abundant number, since it is smaller than the sum of its proper divisors (3288619180270).

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

2251515054400 is a wasteful number, since it uses less digits than its factorization.

2251515054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407196931 (or 1407196916 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 2251515054400 in words is "two trillion, two hundred fifty-one billion, five hundred fifteen million, fifty-four thousand, four hundred".