2258684256 has 96 divisors (see below), whose sum is σ = 6237907200. Its totient is φ = 714560000.

The previous prime is 2258684237. The next prime is 2258684269. The reversal of 2258684256 is 6524868522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 157381 + ... + 171131.

It is an arithmetic number, because the mean of its divisors is an integer number (64978200).

Almost surely, 2^2258684256 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 2258684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118953600).

2258684256 is an abundant number, since it is smaller than the sum of its proper divisors (3979222944).

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

2258684256 is a wasteful number, since it uses less digits than its factorization.

2258684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852 (or 13844 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 2258684256 is about 47525.6168397634. The cubic root of 2258684256 is about 1312.0543986467.

The spelling of 2258684256 in words is "two billion, two hundred fifty-eight million, six hundred eighty-four thousand, two hundred fifty-six".