2503468800 has 486 divisors, whose sum is σ = 10423504728. Its totient is φ = 571576320.

The previous prime is 2503468769. The next prime is 2503468801. The reversal of 2503468800 is 88643052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503468801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821957 + ... + 2822843.

Almost surely, 2^2503468800 is an apocalyptic number.

2503468800 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 2503468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211752364).

2503468800 is an abundant number, since it is smaller than the sum of its proper divisors (7920035928).

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

2503468800 is a wasteful number, since it uses less digits than its factorization.

2503468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2503468800 is about 50034.6759757670. The cubic root of 2503468800 is about 1357.8362363191.

The spelling of 2503468800 in words is "two billion, five hundred three million, four hundred sixty-eight thousand, eight hundred".