2285600 has 36 divisors (see below), whose sum is σ = 5581674. Its totient is φ = 913920.

The previous prime is 2285597. The next prime is 2285623. The reversal of 2285600 is 65822.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1860496 + 425104 = 1364^2 + 652^2 .

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, 629 + ... + 2228.

2^2285600 is an apocalyptic number.

2285600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2285600 is an abundant number, since it is smaller than the sum of its proper divisors (3296074).

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

2285600 is a wasteful number, since it uses less digits than its factorization.

2285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2285600 is about 1511.8200951171. The cubic root of 2285600 is about 131.7245557192.

The spelling of 2285600 in words is "two million, two hundred eighty-five thousand, six hundred".