2260814976 has 160 divisors (see below), whose sum is σ = 7689559680. Its totient is φ = 645926400.

The previous prime is 2260814971. The next prime is 2260815017. The reversal of 2260814976 is 6794180622.

It is a happy number.

2260814976 is a `hidden beast` number, since 22 + 60 + 81 + 497 + 6 = 666.

It is a super-2 number, since 2×2260814976² = 10222568711411761152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260814971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57001 + ... + 88151.

It is an arithmetic number, because the mean of its divisors is an integer number (48059748).

Almost surely, 2^2260814976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844779840).

2260814976 is an abundant number, since it is smaller than the sum of its proper divisors (5428744704).

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

2260814976 is an equidigital number, since it uses as much as digits as its factorization.

2260814976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31184 (or 31163 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2260814976 is about 47548.0280979138. The cubic root of 2260814976 is about 1312.4668425909.

The spelling of 2260814976 in words is "two billion, two hundred sixty million, eight hundred fourteen thousand, nine hundred seventy-six".