2258823168 has 432 divisors, whose sum is σ = 7901564580. Its totient is φ = 619315200.

The previous prime is 2258823157. The next prime is 2258823191. The reversal of 2258823168 is 8613288522.

2258823168 is a `hidden beast` number, since 2 + 2 + 588 + 2 + 3 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1571963904 + 686859264 = 39648^2 + 26208^2 .

Its product of digits (368640) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37029858 + ... + 37029918.

Almost surely, 2^2258823168 is an apocalyptic number.

2258823168 is a gapful number since it is divisible by the number (28) 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 2258823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950782290).

2258823168 is an abundant number, since it is smaller than the sum of its proper divisors (5642741412).

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

2258823168 is a wasteful number, since it uses less digits than its factorization.

2258823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2258823168 is about 47527.0782607136. The cubic root of 2258823168 is about 1312.0812957756.

The spelling of 2258823168 in words is "two billion, two hundred fifty-eight million, eight hundred twenty-three thousand, one hundred sixty-eight".