2081106816 has 128 divisors (see below), whose sum is σ = 6055495200. Its totient is φ = 630325248.

The previous prime is 2081106793. The next prime is 2081106877. The reversal of 2081106816 is 6186011802.

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 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, 183816 + ... + 194808.

Almost surely, 2^2081106816 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 2081106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027747600).

2081106816 is an abundant number, since it is smaller than the sum of its proper divisors (3974388384).

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

2081106816 is a wasteful number, since it uses less digits than its factorization.

2081106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2081106816 is about 45619.1496632719. The cubic root of 2081106816 is about 1276.7272381447.

The spelling of 2081106816 in words is "two billion, eighty-one million, one hundred six thousand, eight hundred sixteen".