2258536224 has 288 divisors, whose sum is σ = 7438023936. Its totient is φ = 596090880.

The previous prime is 2258536187. The next prime is 2258536229. The reversal of 2258536224 is 4226358522.

It is not an unprimeable number, because it can be changed into a prime (2258536229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4877817 + ... + 4878279.

It is an arithmetic number, because the mean of its divisors is an integer number (25826472).

Almost surely, 2^2258536224 is an apocalyptic number.

2258536224 is a gapful number since it is divisible by the number (24) 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 2258536224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719011968).

2258536224 is an abundant number, since it is smaller than the sum of its proper divisors (5179487712).

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

2258536224 is a wasteful number, since it uses less digits than its factorization.

2258536224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2258536224 is about 47524.0594225704. The cubic root of 2258536224 is about 1312.0257344248.

The spelling of 2258536224 in words is "two billion, two hundred fifty-eight million, five hundred thirty-six thousand, two hundred twenty-four".