2258360 has 64 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 806400.

The previous prime is 2258357. The next prime is 2258363. The reversal of 2258360 is 638522.

2258360 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2258357) and next prime (2258363).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258363) 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 15 ways as a sum of consecutive naturals, for example, 22310 + ... + 22410.

2^2258360 is an apocalyptic number.

2258360 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 2258360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

2258360 is an abundant number, since it is smaller than the sum of its proper divisors (3396520).

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

2258360 is a wasteful number, since it uses less digits than its factorization.

2258360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2258360 is about 1502.7840829607. The cubic root of 2258360 is about 131.1991609603.

The spelling of 2258360 in words is "two million, two hundred fifty-eight thousand, three hundred sixty".