2260132864 has 264 divisors, whose sum is σ = 5586590520. Its totient is φ = 908328960.

The previous prime is 2260132799. The next prime is 2260132867. The reversal of 2260132864 is 4682310622.

It can be written as a sum of positive squares in 4 ways, for example, as 1118233600 + 1141899264 = 33440^2 + 33792^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2260132867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61084654 + ... + 61084690.

Almost surely, 2^2260132864 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 2260132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793295260).

2260132864 is an abundant number, since it is smaller than the sum of its proper divisors (3326457656).

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

2260132864 is a wasteful number, since it uses less digits than its factorization.

2260132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2260132864 is about 47540.8546831039. The cubic root of 2260132864 is about 1312.3348342307.

The spelling of 2260132864 in words is "two billion, two hundred sixty million, one hundred thirty-two thousand, eight hundred sixty-four".