2532800 has 42 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 1012480.

The previous prime is 2532799. The next prime is 2532823. The reversal of 2532800 is 82352.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 809 + ... + 2391.

2^2532800 is an apocalyptic number.

2532800 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 2532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2532800 is an abundant number, since it is smaller than the sum of its proper divisors (3703408).

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

2532800 is a wasteful number, since it uses less digits than its factorization.

2532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2532800 is about 1591.4773011262. The cubic root of 2532800 is about 136.3118564349.

The spelling of 2532800 in words is "two million, five hundred thirty-two thousand, eight hundred".