2565200 has 90 divisors (see below), whose sum is σ = 6901902. Its totient is φ = 915200.

The previous prime is 2565191. The next prime is 2565203. The reversal of 2565200 is 25652.

2565200 = T₇₅ + T₇₆ + ... + T₂₅₀.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 2238016 = 572^2 + 1496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48374 + ... + 48426.

2^2565200 is an apocalyptic number.

2565200 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 2565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450951).

2565200 is an abundant number, since it is smaller than the sum of its proper divisors (4336702).

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

2565200 is a wasteful number, since it uses less digits than its factorization.

2565200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2565200 is about 1601.6241756417. The cubic root of 2565200 is about 136.8906367880.

Multiplying 2565200 by its reverse (25652), we get a square (65802510400 = 256520²).

2565200 divided by its reverse (25652) gives a square (100 = 10²).

The spelling of 2565200 in words is "two million, five hundred sixty-five thousand, two hundred".