2110116096 has 405 divisors, whose sum is σ = 7162688533. Its totient is φ = 617379840.

The previous prime is 2110116017. The next prime is 2110116103. The reversal of 2110116096 is 6906110112.

The square root of 2110116096 is 45936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1106493696 + 1003622400 = 33264^2 + 31680^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72762610 + ... + 72762638.

Almost surely, 2^2110116096 is an apocalyptic number.

2110116096 is the 45936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110116096

2110116096 is an abundant number, since it is smaller than the sum of its proper divisors (5052572437).

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

2110116096 is an equidigital number, since it uses as much as digits as its factorization.

2110116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 2110116096 is about 1282.6321357649.

The spelling of 2110116096 in words is "two billion, one hundred ten million, one hundred sixteen thousand, ninety-six".