2117065664 has 56 divisors (see below), whose sum is σ = 4822960128. Its totient is φ = 903202560.

The previous prime is 2117065651. The next prime is 2117065669. The reversal of 2117065664 is 4665607112.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117065669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89309 + ... + 110499.

It is an arithmetic number, because the mean of its divisors is an integer number (86124288).

Almost surely, 2^2117065664 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 2117065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411480064).

2117065664 is an abundant number, since it is smaller than the sum of its proper divisors (2705894464).

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

2117065664 is a wasteful number, since it uses less digits than its factorization.

2117065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21433 (or 21423 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2117065664 is about 46011.5818463134. The cubic root of 2117065664 is about 1284.0386889349.

The spelling of 2117065664 in words is "two billion, one hundred seventeen million, sixty-five thousand, six hundred sixty-four".