2504575872 has 96 divisors (see below), whose sum is σ = 7222695480. Its totient is φ = 833061888.

The previous prime is 2504575867. The next prime is 2504575873. The reversal of 2504575872 is 2785754052.

2504575872 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 575 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504575873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600418 + ... + 604574.

Almost surely, 2^2504575872 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 2504575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611347740).

2504575872 is an abundant number, since it is smaller than the sum of its proper divisors (4718119608).

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

2504575872 is a wasteful number, since it uses less digits than its factorization.

2504575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2504575872 is about 50045.7378005360. The cubic root of 2504575872 is about 1358.0363587718.

The spelling of 2504575872 in words is "two billion, five hundred four million, five hundred seventy-five thousand, eight hundred seventy-two".