2255600 has 30 divisors (see below), whose sum is σ = 5420040. Its totient is φ = 902080.

The previous prime is 2255581. The next prime is 2255609. The reversal of 2255600 is 65522.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2420 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (180668).

2^2255600 is an apocalyptic number.

2255600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255600 is an abundant number, since it is smaller than the sum of its proper divisors (3164440).

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

2255600 is a wasteful number, since it uses less digits than its factorization.

2255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2255600 is about 1501.8655066283. The cubic root of 2255600 is about 131.1456918797.

The spelling of 2255600 in words is "two million, two hundred fifty-five thousand, six hundred".