2611560160 has 96 divisors (see below), whose sum is σ = 6857942112. Its totient is φ = 931706880.

The previous prime is 2611560157. The next prime is 2611560163. The reversal of 2611560160 is 610651162.

It is an interprime number because it is at equal distance from previous prime (2611560157) and next prime (2611560163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611560163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79282 + ... + 107278.

It is an arithmetic number, because the mean of its divisors is an integer number (71436897).

Almost surely, 2^2611560160 is an apocalyptic number.

2611560160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428971056).

2611560160 is an abundant number, since it is smaller than the sum of its proper divisors (4246381952).

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

2611560160 is a wasteful number, since it uses less digits than its factorization.

2611560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28076 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2611560160 is about 51103.4261082366. The cubic root of 2611560160 is about 1377.1038049073.

The spelling of 2611560160 in words is "two billion, six hundred eleven million, five hundred sixty thousand, one hundred sixty".