2504306633472 has 576 divisors, whose sum is σ = 9022117888000. Its totient is φ = 669257551872.

The previous prime is 2504306633459. The next prime is 2504306633497. The reversal of 2504306633472 is 2743366034052.

2504306633472 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 3 + 0 + 6 + 633 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 72607143 + ... + 72641625.

Almost surely, 2^{2504306633472} 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 2504306633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511058944000).

2504306633472 is an abundant number, since it is smaller than the sum of its proper divisors (6517811254528).

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

2504306633472 is a wasteful number, since it uses less digits than its factorization.

2504306633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34613 (or 34593 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 2504306633472 in words is "two trillion, five hundred four billion, three hundred six million, six hundred thirty-three thousand, four hundred seventy-two".