2258720 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 854784.

The previous prime is 2258717. The next prime is 2258741. The reversal of 2258720 is 278522.

It is a self number, because there is not a number n which added to its sum of digits gives 2258720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2669 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^2258720 is an apocalyptic number.

2258720 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 2258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2258720 is an abundant number, since it is smaller than the sum of its proper divisors (3365920).

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

2258720 is a wasteful number, since it uses less digits than its factorization.

2258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2258720 is about 1502.9038558737. The cubic root of 2258720 is about 131.2061319759.

The spelling of 2258720 in words is "two million, two hundred fifty-eight thousand, seven hundred twenty".