2552800 has 36 divisors (see below), whose sum is σ = 6233976. Its totient is φ = 1020800.

The previous prime is 2552779. The next prime is 2552807. The reversal of 2552800 is 82552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 796 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

2^2552800 is an apocalyptic number.

2552800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552800 is an abundant number, since it is smaller than the sum of its proper divisors (3681176).

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

2552800 is a wasteful number, since it uses less digits than its factorization.

2552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2552800 is about 1597.7484157401. The cubic root of 2552800 is about 136.6697071172.

It can be divided in two parts, 25 and 52800, that added together give a palindrome (52825).

The spelling of 2552800 in words is "two million, five hundred fifty-two thousand, eight hundred".