2116567617 has 12 divisors (see below), whose sum is σ = 2950126704. Its totient is φ = 1349694280.

The previous prime is 2116567603. The next prime is 2116567627. The reversal of 2116567617 is 7167656112.

It is not a de Polignac number, because 2116567617 - 2⁷ = 2116567489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116567627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665259 + ... + 668432.

It is an arithmetic number, because the mean of its divisors is an integer number (245843892).

Almost surely, 2^2116567617 is an apocalyptic number.

It is an amenable number.

2116567617 is a deficient number, since it is larger than the sum of its proper divisors (833559087).

2116567617 is a wasteful number, since it uses less digits than its factorization.

2116567617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333740 (or 1333717 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 2116567617 is about 46006.1693362966. The cubic root of 2116567617 is about 1283.9379895277.

The spelling of 2116567617 in words is "two billion, one hundred sixteen million, five hundred sixty-seven thousand, six hundred seventeen".