2258856 has 48 divisors (see below), whose sum is σ = 6189300. Its totient is φ = 744192.

The previous prime is 2258843. The next prime is 2258863. The reversal of 2258856 is 6588522.

2258856 is a `hidden beast` number, since 22 + 588 + 56 = 666.

2258856 is digitally balanced in base 2, 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 2056356 + 202500 = 1434^2 + 450^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2258856.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9750 + ... + 9978.

2^2258856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094650).

2258856 is an abundant number, since it is smaller than the sum of its proper divisors (3930444).

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

2258856 is a wasteful number, since it uses less digits than its factorization.

2258856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2258856 is about 1502.9491009346. The cubic root of 2258856 is about 131.2087652780.

The spelling of 2258856 in words is "two million, two hundred fifty-eight thousand, eight hundred fifty-six".