2525600 has 144 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 768000.

The previous prime is 2525599. The next prime is 2525603. The reversal of 2525600 is 65252.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2525603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61580 + ... + 61620.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^2525600 is an apocalyptic number.

2525600 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 2525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2525600 is an abundant number, since it is smaller than the sum of its proper divisors (5348896).

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

2525600 is a wasteful number, since it uses less digits than its factorization.

2525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

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

The square root of 2525600 is about 1589.2136420255. The cubic root of 2525600 is about 136.1825691081.

It can be divided in two parts, 2525 and 600, that added together give a 5-th power (3125 = 5⁵).

The spelling of 2525600 in words is "two million, five hundred twenty-five thousand, six hundred".