2251927484928 has 960 divisors, whose sum is σ = 7657159910400. Its totient is φ = 654726758400.

The previous prime is 2251927484843. The next prime is 2251927484951. The reversal of 2251927484928 is 8294847291522.

2251927484928 is a `hidden beast` number, since 2 + 2 + 51 + 92 + 7 + 4 + 8 + 492 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3759477973 + ... + 3759478571.

It is an arithmetic number, because the mean of its divisors is an integer number (7976208240).

Almost surely, 2^{2251927484928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251927484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828579955200).

2251927484928 is an abundant number, since it is smaller than the sum of its proper divisors (5405232425472).

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

2251927484928 is an equidigital number, since it uses as much as digits as its factorization.

2251927484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 723 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 2251927484928 in words is "two trillion, two hundred fifty-one billion, nine hundred twenty-seven million, four hundred eighty-four thousand, nine hundred twenty-eight".