2575200 has 144 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 645120.

The previous prime is 2575193. The next prime is 2575219. The reversal of 2575200 is 25752.

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, 69582 + ... + 69618.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^2575200 is an apocalyptic number.

2575200 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 2575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

2575200 is an abundant number, since it is smaller than the sum of its proper divisors (6330480).

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

2575200 is a wasteful number, since it uses less digits than its factorization.

2575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2575200 is about 1604.7429700734. The cubic root of 2575200 is about 137.0682878345.

Multiplying 2575200 by its reverse (25752), we get a square (66316550400 = 257520²).

2575200 divided by its reverse (25752) gives a square (100 = 10²).

It can be divided in two parts, 2575 and 200, that added together give a triangular number (2775 = T₇₄).

The spelling of 2575200 in words is "two million, five hundred seventy-five thousand, two hundred".