2252600 has 48 divisors (see below), whose sum is σ = 5989200. Its totient is φ = 771840.

The previous prime is 2252587. The next prime is 2252611. The reversal of 2252600 is 62522.

2252600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (124775).

2^2252600 is an apocalyptic number.

2252600 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 2252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994600).

2252600 is an abundant number, since it is smaller than the sum of its proper divisors (3736600).

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

2252600 is a wasteful number, since it uses less digits than its factorization.

2252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2252600 is about 1500.8664164409. The cubic root of 2252600 is about 131.0875238192.

The spelling of 2252600 in words is "two million, two hundred fifty-two thousand, six hundred".