2116606617 has 12 divisors (see below), whose sum is σ = 3058635684. Its totient is φ = 1410464160.

The previous prime is 2116606567. The next prime is 2116606643. The reversal of 2116606617 is 7166066112.

2116606617 is a `hidden beast` number, since 21 + 16 + 6 + 0 + 6 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 521482896 + 1595123721 = 22836^2 + 39939^2 .

It is not a de Polignac number, because 2116606617 - 2⁶ = 2116606553 is a prime.

It is a super-2 number, since 2×2116606617² = 8960047142256369378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2116606417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27958 + ... + 70815.

It is an arithmetic number, because the mean of its divisors is an integer number (254886307).

Almost surely, 2^2116606617 is an apocalyptic number.

It is an amenable number.

2116606617 is a deficient number, since it is larger than the sum of its proper divisors (942029067).

2116606617 is a wasteful number, since it uses less digits than its factorization.

2116606617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101160 (or 101157 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2116606617 is about 46006.5931905417. The cubic root of 2116606617 is about 1283.9458754517.

The spelling of 2116606617 in words is "two billion, one hundred sixteen million, six hundred six thousand, six hundred seventeen".