2504645728 has 48 divisors (see below), whose sum is σ = 5360055120. Its totient is φ = 1145166336.

The previous prime is 2504645701. The next prime is 2504645753. The reversal of 2504645728 is 8275464052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16378 + ... + 72646.

It is an arithmetic number, because the mean of its divisors is an integer number (111667815).

Almost surely, 2^2504645728 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 2504645728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680027560).

2504645728 is an abundant number, since it is smaller than the sum of its proper divisors (2855409392).

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

2504645728 is a wasteful number, since it uses less digits than its factorization.

2504645728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56399 (or 56391 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 2504645728 is about 50046.4357172416. The cubic root of 2504645728 is about 1358.0489844765.

The spelling of 2504645728 in words is "two billion, five hundred four million, six hundred forty-five thousand, seven hundred twenty-eight".