2165717320 has 64 divisors (see below), whose sum is σ = 5294283120. Its totient is φ = 792551424.

The previous prime is 2165717273. The next prime is 2165717321. The reversal of 2165717320 is 237175612.

It can be written as a sum of positive squares in 8 ways, for example, as 128278276 + 2037439044 = 11326^2 + 45138^2 .

It is not an unprimeable number, because it can be changed into a prime (2165717321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40332 + ... + 77188.

Almost surely, 2^2165717320 is an apocalyptic number.

2165717320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165717320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647141560).

2165717320 is an abundant number, since it is smaller than the sum of its proper divisors (3128565800).

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

2165717320 is a wasteful number, since it uses less digits than its factorization.

2165717320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36994 (or 36990 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2165717320 is about 46537.2680762419. The cubic root of 2165717320 is about 1293.8003270425.

The spelling of 2165717320 in words is "two billion, one hundred sixty-five million, seven hundred seventeen thousand, three hundred twenty".