2258560960 has 56 divisors (see below), whose sum is σ = 5416997040. Its totient is φ = 896907264.

The previous prime is 2258560949. The next prime is 2258560963. The reversal of 2258560960 is 690658522.

2258560960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2258560960² = 10202195220072243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258560963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19092 + ... + 69868.

It is an arithmetic number, because the mean of its divisors is an integer number (96732090).

Almost surely, 2^2258560960 is an apocalyptic number.

2258560960 is a gapful number since it is divisible by the number (20) 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 2258560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708498520).

2258560960 is an abundant number, since it is smaller than the sum of its proper divisors (3158436080).

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

2258560960 is a wasteful number, since it uses less digits than its factorization.

2258560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50933 (or 50923 counting only the distinct ones).

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

The square root of 2258560960 is about 47524.3196689863. The cubic root of 2258560960 is about 1312.0305242750.

The spelling of 2258560960 in words is "two billion, two hundred fifty-eight million, five hundred sixty thousand, nine hundred sixty".