2492007202944 has 960 divisors, whose sum is σ = 8825022692640. Its totient is φ = 695865655296.

The previous prime is 2492007202931. The next prime is 2492007202991. The reversal of 2492007202944 is 4492027002942.

2492007202944 is a `hidden beast` number, since 2 + 492 + 0 + 0 + 72 + 0 + 2 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2492007202944.

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 119 ways as a sum of consecutive naturals, for example, 4764831867 + ... + 4764832389.

Almost surely, 2^{2492007202944} is an apocalyptic number.

2492007202944 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 2492007202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412511346320).

2492007202944 is an abundant number, since it is smaller than the sum of its proper divisors (6333015489696).

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

2492007202944 is a wasteful number, since it uses less digits than its factorization.

2492007202944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2492007202944 in words is "two trillion, four hundred ninety-two billion, seven million, two hundred two thousand, nine hundred forty-four".