2502552800 has 144 divisors (see below), whose sum is σ = 6728475600. Its totient is φ = 901324800.

The previous prime is 2502552739. The next prime is 2502552823. The reversal of 2502552800 is 82552052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957896 + ... + 960504.

It is an arithmetic number, because the mean of its divisors is an integer number (46725525).

Almost surely, 2^2502552800 is an apocalyptic number.

2502552800 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 2502552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364237800).

2502552800 is an abundant number, since it is smaller than the sum of its proper divisors (4225922800).

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

2502552800 is a wasteful number, since it uses less digits than its factorization.

2502552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 2502552800 is about 50025.5214865372. The cubic root of 2502552800 is about 1357.6706088346.

The spelling of 2502552800 in words is "two billion, five hundred two million, five hundred fifty-two thousand, eight hundred".