2260526760 has 96 divisors (see below), whose sum is σ = 7447438440. Its totient is φ = 594542592.

The previous prime is 2260526743. The next prime is 2260526791. The reversal of 2260526760 is 676250622.

2260526760 is a `hidden beast` number, since 2 + 2 + 60 + 526 + 76 + 0 = 666.

2260526760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2026620324 + 233906436 = 45018^2 + 15294^2 .

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, 16729 + ... + 69288.

Almost surely, 2^2260526760 is an apocalyptic number.

2260526760 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 2260526760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723719220).

2260526760 is an abundant number, since it is smaller than the sum of its proper divisors (5186911680).

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

2260526760 is a wasteful number, since it uses less digits than its factorization.

2260526760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86107 (or 86100 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2260526760 is about 47544.9972131664. The cubic root of 2260526760 is about 1312.4110677158.

The spelling of 2260526760 in words is "two billion, two hundred sixty million, five hundred twenty-six thousand, seven hundred sixty".