2288800 has 36 divisors (see below), whose sum is σ = 5589486. Its totient is φ = 915200.

The previous prime is 2288773. The next prime is 2288801. The reversal of 2288800 is 88822.

It can be written as a sum of positive squares in 3 ways, for example, as 1752976 + 535824 = 1324^2 + 732^2 .

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2288801) 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, 631 + ... + 2230.

2^2288800 is an apocalyptic number.

2288800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288800 is an abundant number, since it is smaller than the sum of its proper divisors (3300686).

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

2288800 is a wasteful number, since it uses less digits than its factorization.

2288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2288800 is about 1512.8780519262. The cubic root of 2288800 is about 131.7860015850.

It can be divided in two parts, 2 and 288800, that multiplied together give a square (577600 = 760²).

The spelling of 2288800 in words is "two million, two hundred eighty-eight thousand, eight hundred".