2260500880 has 160 divisors (see below), whose sum is σ = 6187425408. Its totient is φ = 758784000.

The previous prime is 2260500839. The next prime is 2260500883. The reversal of 2260500880 is 880050622.

It is not an unprimeable number, because it can be changed into a prime (2260500883) 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, 791455 + ... + 794305.

Almost surely, 2^2260500880 is an apocalyptic number.

2260500880 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 2260500880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093712704).

2260500880 is an abundant number, since it is smaller than the sum of its proper divisors (3926924528).

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

2260500880 is a wasteful number, since it uses less digits than its factorization.

2260500880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2260500880 is about 47544.7250491577. The cubic root of 2260500880 is about 1312.4060592477.

The spelling of 2260500880 in words is "two billion, two hundred sixty million, five hundred thousand, eight hundred eighty".