2110881005568 has 420 divisors, whose sum is σ = 6531660675540. Its totient is φ = 678571278336.

The previous prime is 2110881005543. The next prime is 2110881005573. The reversal of 2110881005568 is 8655001880112.

2110881005568 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 8 + 81 + 0 + 0 + 5 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1594138558464 + 516742447104 = 1262592^2 + 718848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2463104596 + ... + 2463105452.

It is an arithmetic number, because the mean of its divisors is an integer number (15551573037).

Almost surely, 2^{2110881005568} 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 2110881005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265830337770).

2110881005568 is an abundant number, since it is smaller than the sum of its proper divisors (4420779669972).

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

2110881005568 is an frugal number, since it uses more digits than its factorization.

2110881005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 2110881005568 in words is "two trillion, one hundred ten billion, eight hundred eighty-one million, five thousand, five hundred sixty-eight".