2508004800 has 504 divisors, whose sum is σ = 10318089600. Its totient is φ = 565954560.

The previous prime is 2508004789. The next prime is 2508004817. The reversal of 2508004800 is 84008052.

2508004800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14011111 + ... + 14011289.

It is an arithmetic number, because the mean of its divisors is an integer number (20472400).

Almost surely, 2^2508004800 is an apocalyptic number.

2508004800 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 2508004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159044800).

2508004800 is an abundant number, since it is smaller than the sum of its proper divisors (7810084800).

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

2508004800 is a wasteful number, since it uses less digits than its factorization.

2508004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2508004800 is about 50079.9840255566. The cubic root of 2508004800 is about 1358.6558229953.

The spelling of 2508004800 in words is "two billion, five hundred eight million, four thousand, eight hundred".