2260510560 has 1152 divisors, whose sum is σ = 10755763200. Its totient is φ = 418037760.

The previous prime is 2260510477. The next prime is 2260510573. The reversal of 2260510560 is 650150622.

2260510560 is a `hidden beast` number, since 2 + 2 + 605 + 1 + 0 + 56 + 0 = 666.

It is a super-4 number, since 4×2260510560⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61094862 + ... + 61094898.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^2260510560 is an apocalyptic number.

2260510560 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 2260510560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

2260510560 is an abundant number, since it is smaller than the sum of its proper divisors (8495252640).

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

2260510560 is a wasteful number, since it uses less digits than its factorization.

2260510560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2260510560 is about 47544.8268479337. The cubic root of 2260510560 is about 1312.4079325896.

The spelling of 2260510560 in words is "two billion, two hundred sixty million, five hundred ten thousand, five hundred sixty".