2165617264 has 40 divisors (see below), whose sum is σ = 4427472080. Its totient is φ = 1023321600.

The previous prime is 2165617183. The next prime is 2165617271. The reversal of 2165617264 is 4627165612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119524 + ... + 136444.

It is an arithmetic number, because the mean of its divisors is an integer number (110686802).

Almost surely, 2^2165617264 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 2165617264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213736040).

2165617264 is an abundant number, since it is smaller than the sum of its proper divisors (2261854816).

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

2165617264 is a wasteful number, since it uses less digits than its factorization.

2165617264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17363 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 2165617264 is about 46536.1930544388. The cubic root of 2165617264 is about 1293.7804022386.

The spelling of 2165617264 in words is "two billion, one hundred sixty-five million, six hundred seventeen thousand, two hundred sixty-four".