2165841568 has 96 divisors (see below), whose sum is σ = 4834105920. Its totient is φ = 946176000.

The previous prime is 2165841553. The next prime is 2165841569. The reversal of 2165841568 is 8651485612.

It is not an unprimeable number, because it can be changed into a prime (2165841569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3378528 + ... + 3379168.

It is an arithmetic number, because the mean of its divisors is an integer number (50355270).

Almost surely, 2^2165841568 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 2165841568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417052960).

2165841568 is an abundant number, since it is smaller than the sum of its proper divisors (2668264352).

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

2165841568 is a wasteful number, since it uses less digits than its factorization.

2165841568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The square root of 2165841568 is about 46538.6029871976. The cubic root of 2165841568 is about 1293.8250685031.

The spelling of 2165841568 in words is "two billion, one hundred sixty-five million, eight hundred forty-one thousand, five hundred sixty-eight".