2260814864 has 160 divisors (see below), whose sum is σ = 5849625600. Its totient is φ = 819832320.

The previous prime is 2260814863. The next prime is 2260814867. The reversal of 2260814864 is 4684180622.

It is a super-2 number, since 2×2260814864² = 10222567698566676992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260814863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380254 + ... + 1381890.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^2260814864 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 2260814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

2260814864 is an abundant number, since it is smaller than the sum of its proper divisors (3588810736).

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

2260814864 is a wasteful number, since it uses less digits than its factorization.

2260814864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 2260814864 is about 47548.0269201573. The cubic root of 2260814864 is about 1312.4668209179.

The spelling of 2260814864 in words is "two billion, two hundred sixty million, eight hundred fourteen thousand, eight hundred sixty-four".