2252800 has 84 divisors (see below), whose sum is σ = 6094476. Its totient is φ = 819200.

The previous prime is 2252779. The next prime is 2252821. The reversal of 2252800 is 82522.

It is an interprime number because it is at equal distance from previous prime (2252779) and next prime (2252821).

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, 204795 + ... + 204805.

2^2252800 is an apocalyptic number.

2252800 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 2252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047238).

2252800 is an abundant number, since it is smaller than the sum of its proper divisors (3841676).

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

2252800 is an equidigital number, since it uses as much as digits as its factorization.

2252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2252800 is about 1500.9330431435. The cubic root of 2252800 is about 131.0914032961.

It can be divided in two parts, 225 and 2800, that added together give a square (3025 = 55²).

The spelling of 2252800 in words is "two million, two hundred fifty-two thousand, eight hundred".