2572900 has 36 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 935200.

The previous prime is 2572877. The next prime is 2572937. The reversal of 2572900 is 92752.

2572900 = T₁₇₅ + T₁₇₆ + ... + T₂₇₄.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 2269.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

2^2572900 is an apocalyptic number.

2572900 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 2572900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2572900 is an abundant number, since it is smaller than the sum of its proper divisors (3520460).

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

2572900 is a wasteful number, since it uses less digits than its factorization.

2572900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2572900 is about 1604.0261843249. The cubic root of 2572900 is about 137.0274688736.

It can be divided in two parts, 25 and 72900, that multiplied together give a square (1822500 = 1350²).

The spelling of 2572900 in words is "two million, five hundred seventy-two thousand, nine hundred".