2260256580 has 72 divisors (see below), whose sum is σ = 6861086232. Its totient is φ = 602297856.

The previous prime is 2260256561. The next prime is 2260256611. The reversal of 2260256580 is 856520622.

2260256580 is a `hidden beast` number, since 2 + 26 + 0 + 2 + 56 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396089604 + 1864166976 = 19902^2 + 43176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301032 + ... + 308448.

Almost surely, 2^2260256580 is an apocalyptic number.

2260256580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260256580 is an abundant number, since it is smaller than the sum of its proper divisors (4600829652).

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

2260256580 is a wasteful number, since it uses less digits than its factorization.

2260256580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2260256580 is about 47542.1558198616. The cubic root of 2260256580 is about 1312.3587788192.

It can be divided in two parts, 2260 and 256580, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 2260256580 in words is "two billion, two hundred sixty million, two hundred fifty-six thousand, five hundred eighty".