2117217564 has 72 divisors (see below), whose sum is σ = 6672451968. Its totient is φ = 549925920.

The previous prime is 2117217563. The next prime is 2117217577. The reversal of 2117217564 is 4657127112.

2117217564 is a `hidden beast` number, since 2 + 11 + 72 + 17 + 564 = 666.

It is a super-2 number, since 2×2117217564² = 8965220426620188192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117217563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379122 + ... + 384665.

It is an arithmetic number, because the mean of its divisors is an integer number (92672944).

Almost surely, 2^2117217564 is an apocalyptic number.

It is an amenable number.

2117217564 is an abundant number, since it is smaller than the sum of its proper divisors (4555234404).

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

2117217564 is a wasteful number, since it uses less digits than its factorization.

2117217564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763815 (or 763810 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 2117217564 is about 46013.2324880572. The cubic root of 2117217564 is about 1284.0693982347.

The spelling of 2117217564 in words is "two billion, one hundred seventeen million, two hundred seventeen thousand, five hundred sixty-four".