2258160 has 60 divisors (see below), whose sum is σ = 7073208. Its totient is φ = 595968.

The previous prime is 2258149. The next prime is 2258167. The reversal of 2258160 is 618522.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2258160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23232 + ... + 23328.

2^2258160 is an apocalyptic number.

2258160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536604).

2258160 is an abundant number, since it is smaller than the sum of its proper divisors (4815048).

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

2258160 is an equidigital number, since it uses as much as digits as its factorization.

2258160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2258160 is about 1502.7175383285. The cubic root of 2258160 is about 131.1952878538.

Multiplying 2258160 by its product of nonzero digits (960), we get a square (2167833600 = 46560²).

It can be divided in two parts, 225 and 8160, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 2258160 in words is "two million, two hundred fifty-eight thousand, one hundred sixty".