2258816319 has 6 divisors (see below), whose sum is σ = 3262734696. Its totient is φ = 1505877540.

The previous prime is 2258816317. The next prime is 2258816323. The reversal of 2258816319 is 9136188522.

2258816319 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 8 + 1 + 631 + 9 = 666.

It is not a de Polignac number, because 2258816319 - 2¹ = 2258816317 is a prime.

It is a super-2 number, since 2×2258816319² = 10204502325961419522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258816317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125489787 + ... + 125489804.

It is an arithmetic number, because the mean of its divisors is an integer number (543789116).

Almost surely, 2^2258816319 is an apocalyptic number.

2258816319 is a deficient number, since it is larger than the sum of its proper divisors (1003918377).

2258816319 is a wasteful number, since it uses less digits than its factorization.

2258816319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250979597 (or 250979594 counting only the distinct ones).

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

The square root of 2258816319 is about 47527.0062069977. The cubic root of 2258816319 is about 1312.0799696493.

The spelling of 2258816319 in words is "two billion, two hundred fifty-eight million, eight hundred sixteen thousand, three hundred nineteen".