2528900 has 72 divisors (see below), whose sum is σ = 6353760. Its totient is φ = 871200.

The previous prime is 2528899. The next prime is 2528923. The reversal of 2528900 is 98252.

It is a self number, because there is not a number n which added to its sum of digits gives 2528900.

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, 133091 + ... + 133109.

2^2528900 is an apocalyptic number.

2528900 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 2528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176880).

2528900 is an abundant number, since it is smaller than the sum of its proper divisors (3824860).

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

2528900 is a wasteful number, since it uses less digits than its factorization.

2528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2528900 is about 1590.2515524281. The cubic root of 2528900 is about 136.2418562593.

It can be divided in two parts, 25 and 28900, that multiplied together give a square (722500 = 850²).

The spelling of 2528900 in words is "two million, five hundred twenty-eight thousand, nine hundred".