2253884668704 has 384 divisors, whose sum is σ = 6843595207680. Its totient is φ = 721146488832.

The previous prime is 2253884668691. The next prime is 2253884668723. The reversal of 2253884668704 is 4078664883522.

2253884668704 is a `hidden beast` number, since 2 + 25 + 3 + 88 + 466 + 8 + 70 + 4 = 666.

2253884668704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832612119 + ... + 832614825.

It is an arithmetic number, because the mean of its divisors is an integer number (17821862520).

Almost surely, 2^{2253884668704} is an apocalyptic number.

2253884668704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253884668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421797603840).

2253884668704 is an abundant number, since it is smaller than the sum of its proper divisors (4589710538976).

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

2253884668704 is a wasteful number, since it uses less digits than its factorization.

2253884668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 2253884668704 in words is "two trillion, two hundred fifty-three billion, eight hundred eighty-four million, six hundred sixty-eight thousand, seven hundred four".