2253600 has 108 divisors (see below), whose sum is σ = 7972146. Its totient is φ = 599040.

The previous prime is 2253599. The next prime is 2253617. The reversal of 2253600 is 63522.

It can be written as a sum of positive squares in 3 ways, for example, as 898704 + 1354896 = 948^2 + 1164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 7044 + ... + 7356.

2^2253600 is an apocalyptic number.

2253600 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 2253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986073).

2253600 is an abundant number, since it is smaller than the sum of its proper divisors (5718546).

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

2253600 is a wasteful number, since it uses less digits than its factorization.

2253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2253600 is about 1501.1995203836. The cubic root of 2253600 is about 131.1069189080.

It can be divided in two parts, 225 and 3600, that multiplied together give a 4-th power (810000 = 30⁴).

The spelling of 2253600 in words is "two million, two hundred fifty-three thousand, six hundred".