2258800 has 30 divisors (see below), whose sum is σ = 5427728. Its totient is φ = 903360.

The previous prime is 2258791. The next prime is 2258803. The reversal of 2258800 is 88522.

2258800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2424 + ... + 3223.

2^2258800 is an apocalyptic number.

2258800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258800 is an abundant number, since it is smaller than the sum of its proper divisors (3168928).

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

2258800 is a wasteful number, since it uses less digits than its factorization.

2258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 2258800 is about 1502.9304707803. The cubic root of 2258800 is about 131.2076809899.

It can be divided in two parts, 225 and 8800, that added together give a square (9025 = 95²).

The spelling of 2258800 in words is "two million, two hundred fifty-eight thousand, eight hundred".