2116509696 has 224 divisors, whose sum is σ = 7171822080. Its totient is φ = 604274688.

The previous prime is 2116509691. The next prime is 2116509701. The reversal of 2116509696 is 6969056112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2116509691) and next prime (2116509701).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2116509696² = 8959226586524024832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116509691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547605 + ... + 1548971.

Almost surely, 2^2116509696 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 2116509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585911040).

2116509696 is an abundant number, since it is smaller than the sum of its proper divisors (5055312384).

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

2116509696 is an equidigital number, since it uses as much as digits as its factorization.

2116509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2116509696 is about 46005.5398403279. The cubic root of 2116509696 is about 1283.9262775385.

The spelling of 2116509696 in words is "two billion, one hundred sixteen million, five hundred nine thousand, six hundred ninety-six".