2258981136 has 200 divisors, whose sum is σ = 6931848000. Its totient is φ = 708238080.

The previous prime is 2258981119. The next prime is 2258981143. The reversal of 2258981136 is 6311898522.

2258981136 is a `hidden beast` number, since 22 + 589 + 8 + 11 + 36 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2258981091 and 2258981100.

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 39 ways as a sum of consecutive naturals, for example, 4899946 + ... + 4900406.

It is an arithmetic number, because the mean of its divisors is an integer number (34659240).

Almost surely, 2^2258981136 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 2258981136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465924000).

2258981136 is an abundant number, since it is smaller than the sum of its proper divisors (4672866864).

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

2258981136 is a wasteful number, since it uses less digits than its factorization.

2258981136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2258981136 is about 47528.7401053300. The cubic root of 2258981136 is about 1312.1118813226. Note that the first 3 decimals are identical.

The spelling of 2258981136 in words is "two billion, two hundred fifty-eight million, nine hundred eighty-one thousand, one hundred thirty-six".