2258120 has 16 divisors (see below), whose sum is σ = 5080860. Its totient is φ = 903232.

The previous prime is 2258119. The next prime is 2258129. The reversal of 2258120 is 218522.

It can be written as a sum of positive squares in 2 ways, for example, as 2256004 + 2116 = 1502^2 + 46^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2258092 and 2258101.

It is not an unprimeable number, because it can be changed into a prime (2258129) 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, 28187 + ... + 28266.

2^2258120 is an apocalyptic number.

2258120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258120 is an abundant number, since it is smaller than the sum of its proper divisors (2822740).

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

2258120 is a wasteful number, since it uses less digits than its factorization.

2258120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56464 (or 56460 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2258120 is about 1502.7042290484. The cubic root of 2258120 is about 131.1945132050.

The spelling of 2258120 in words is "two million, two hundred fifty-eight thousand, one hundred twenty".