2611716560 has 20 divisors (see below), whose sum is σ = 6072241188. Its totient is φ = 1044686592.

The previous prime is 2611716559. The next prime is 2611716577. The reversal of 2611716560 is 656171162.

2611716560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1665292864 + 946423696 = 40808^2 + 30764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2611716560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16323149 + ... + 16323308.

Almost surely, 2^2611716560 is an apocalyptic number.

2611716560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2611716560 is an abundant number, since it is smaller than the sum of its proper divisors (3460524628).

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

2611716560 is a wasteful number, since it uses less digits than its factorization.

2611716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32646470 (or 32646464 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 2611716560 is about 51104.9563154103. The cubic root of 2611716560 is about 1377.1312948268.

The spelling of 2611716560 in words is "two billion, six hundred eleven million, seven hundred sixteen thousand, five hundred sixty".