2260176768 has 192 divisors, whose sum is σ = 7069171200. Its totient is φ = 690508800.

The previous prime is 2260176757. The next prime is 2260176769. The reversal of 2260176768 is 8676710622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260176769) 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, 676863 + ... + 680193.

It is an arithmetic number, because the mean of its divisors is an integer number (36818600).

Almost surely, 2^2260176768 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 2260176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534585600).

2260176768 is an abundant number, since it is smaller than the sum of its proper divisors (4808994432).

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

2260176768 is a wasteful number, since it uses less digits than its factorization.

2260176768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2260176768 is about 47541.3164310792. The cubic root of 2260176768 is about 1312.3433317216.

The spelling of 2260176768 in words is "two billion, two hundred sixty million, one hundred seventy-six thousand, seven hundred sixty-eight".