2611130688 has 112 divisors (see below), whose sum is σ = 7689453760. Its totient is φ = 868879872.

The previous prime is 2611130677. The next prime is 2611130723. The reversal of 2611130688 is 8860311162.

2611130688 is a `hidden beast` number, since 2 + 611 + 1 + 30 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514595 + ... + 1516317.

Almost surely, 2^2611130688 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 2611130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844726880).

2611130688 is an abundant number, since it is smaller than the sum of its proper divisors (5078323072).

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

2611130688 is a wasteful number, since it uses less digits than its factorization.

2611130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2611130688 is about 51099.2239471403. The cubic root of 2611130688 is about 1377.0283123649.

The spelling of 2611130688 in words is "two billion, six hundred eleven million, one hundred thirty thousand, six hundred eighty-eight".