2258821917 has 32 divisors (see below), whose sum is σ = 3749304960. Its totient is φ = 1331976960.

The previous prime is 2258821907. The next prime is 2258821951. The reversal of 2258821917 is 7191288522.

It is not a de Polignac number, because 2258821917 - 2³⁰ = 1185080093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258821907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91788 + ... + 113765.

It is an arithmetic number, because the mean of its divisors is an integer number (117165780).

Almost surely, 2^2258821917 is an apocalyptic number.

2258821917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2258821917 is a deficient number, since it is larger than the sum of its proper divisors (1490483043).

2258821917 is a wasteful number, since it uses less digits than its factorization.

2258821917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205610 (or 205604 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2258821917 is about 47527.0650997934. The cubic root of 2258821917 is about 1312.0810535530.

The spelling of 2258821917 in words is "two billion, two hundred fifty-eight million, eight hundred twenty-one thousand, nine hundred seventeen".