2258163952 has 80 divisors (see below), whose sum is σ = 4862260224. Its totient is φ = 1015819200.

The previous prime is 2258163949. The next prime is 2258163979. The reversal of 2258163952 is 2593618522.

It is a super-2 number, since 2×2258163952² = 10198608868224516608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2258163899 and 2258163908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278177 + ... + 2279167.

Almost surely, 2^2258163952 is an apocalyptic number.

2258163952 is a gapful number since it is divisible by the number (22) 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 2258163952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431130112).

2258163952 is an abundant number, since it is smaller than the sum of its proper divisors (2604096272).

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

2258163952 is a wasteful number, since it uses less digits than its factorization.

2258163952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1111 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 2258163952 is about 47520.1425923787. The cubic root of 2258163952 is about 1311.9536438856.

The spelling of 2258163952 in words is "two billion, two hundred fifty-eight million, one hundred sixty-three thousand, nine hundred fifty-two".