2525800 has 48 divisors (see below), whose sum is σ = 5987340. Its totient is φ = 990720.

The previous prime is 2525797. The next prime is 2525801. The reversal of 2525800 is 85252.

2525800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 1592644 + 933156 = 1262^2 + 966^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14514 + ... + 14686.

2^2525800 is an apocalyptic number.

2525800 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 2525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993670).

2525800 is an abundant number, since it is smaller than the sum of its proper divisors (3461540).

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

2525800 is a wasteful number, since it uses less digits than its factorization.

2525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2525800 is about 1589.2765649817. The cubic root of 2525800 is about 136.1861637384.

The spelling of 2525800 in words is "two million, five hundred twenty-five thousand, eight hundred".