2504604985344 has 1728 divisors, whose sum is σ = 9763275150720. Its totient is φ = 610397061120.

The previous prime is 2504604985297. The next prime is 2504604985409. The reversal of 2504604985344 is 4435894064052.

2504604985344 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 60 + 49 + 8 + 534 + 4 = 666.

It is a super-2 number, since 2×2504604985344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22164645832 + ... + 22164645944.

It is an arithmetic number, because the mean of its divisors is an integer number (5650043490).

Almost surely, 2^{2504604985344} is an apocalyptic number.

2504604985344 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 2504604985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881637575360).

2504604985344 is an abundant number, since it is smaller than the sum of its proper divisors (7258670165376).

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

2504604985344 is a wasteful number, since it uses less digits than its factorization.

2504604985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 2504604985344 in words is "two trillion, five hundred four billion, six hundred four million, nine hundred eighty-five thousand, three hundred forty-four".