2504800480 has 192 divisors, whose sum is σ = 7388817408. Its totient is φ = 781240320.

The previous prime is 2504800429. The next prime is 2504800523. The reversal of 2504800480 is 840084052.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1032549 + ... + 1034971.

It is an arithmetic number, because the mean of its divisors is an integer number (38483424).

Almost surely, 2^2504800480 is an apocalyptic number.

2504800480 is a gapful number since it is divisible by the number (20) 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 2504800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694408704).

2504800480 is an abundant number, since it is smaller than the sum of its proper divisors (4884016928).

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

2504800480 is a wasteful number, since it uses less digits than its factorization.

2504800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 2504800480 is about 50047.9817774903. The cubic root of 2504800480 is about 1358.0769533646.

The spelling of 2504800480 in words is "two billion, five hundred four million, eight hundred thousand, four hundred eighty".