2252900 has 36 divisors (see below), whose sum is σ = 5267892. Its totient is φ = 831360.

The previous prime is 2252897. The next prime is 2252911. The reversal of 2252900 is 92522.

It can be written as a sum of positive squares in 6 ways, for example, as 287296 + 1965604 = 536^2 + 1402^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434 + ... + 2166.

2^2252900 is an apocalyptic number.

2252900 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 2252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633946).

2252900 is an abundant number, since it is smaller than the sum of its proper divisors (3014992).

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

2252900 is a wasteful number, since it uses less digits than its factorization.

2252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2252900 is about 1500.9663553858. The cubic root of 2252900 is about 131.0933429484.

It can be divided in two parts, 225 and 2900, that added together give a 5-th power (3125 = 5⁵).

The spelling of 2252900 in words is "two million, two hundred fifty-two thousand, nine hundred".