2258320 has 20 divisors (see below), whose sum is σ = 5250780. Its totient is φ = 903296.

The previous prime is 2258299. The next prime is 2258323. The reversal of 2258320 is 238522.

2258320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 1926544 = 576^2 + 1388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2258291 and 2258300.

It is not an unprimeable number, because it can be changed into a prime (2258323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14035 + ... + 14194.

It is an arithmetic number, because the mean of its divisors is an integer number (262539).

2^2258320 is an apocalyptic number.

2258320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258320 is an abundant number, since it is smaller than the sum of its proper divisors (2992460).

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

2258320 is a wasteful number, since it uses less digits than its factorization.

2258320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28242 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2258320 is about 1502.7707742700. The cubic root of 2258320 is about 131.1983863573.

The spelling of 2258320 in words is "two million, two hundred fifty-eight thousand, three hundred twenty".