2611631811968 has 128 divisors (see below), whose sum is σ = 5754603294720. Its totient is φ = 1174305611776.

The previous prime is 2611631811947. The next prime is 2611631811977. The reversal of 2611631811968 is 8691181361162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47367905 + ... + 47423007.

It is an arithmetic number, because the mean of its divisors is an integer number (44957838240).

Almost surely, 2^{2611631811968} 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 2611631811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877301647360).

2611631811968 is an abundant number, since it is smaller than the sum of its proper divisors (3142971482752).

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

2611631811968 is a wasteful number, since it uses less digits than its factorization.

2611631811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56104 (or 56092 counting only the distinct ones).

The product of its digits is 746496, while the sum is 53.

The spelling of 2611631811968 in words is "two trillion, six hundred eleven billion, six hundred thirty-one million, eight hundred eleven thousand, nine hundred sixty-eight".