2505200 has 30 divisors (see below), whose sum is σ = 6019704. Its totient is φ = 1001920.

The previous prime is 2505193. The next prime is 2505227. The reversal of 2505200 is 25052.

2505200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2732 + ... + 3531.

2^2505200 is an apocalyptic number.

2505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505200 is an abundant number, since it is smaller than the sum of its proper divisors (3514504).

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

2505200 is a wasteful number, since it uses less digits than its factorization.

2505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2505200 is about 1582.7823602757. The cubic root of 2505200 is about 135.8149154732.

2505200 divided by its product of nonzero digits (100) gives a palindrome (25052).

Multiplying 2505200 by its reverse (25052), we get a square (62760270400 = 250520²).

2505200 divided by its reverse (25052) gives a square (100 = 10²).

The spelling of 2505200 in words is "two million, five hundred five thousand, two hundred".