2165868952 has 64 divisors (see below), whose sum is σ = 4743748800. Its totient is φ = 917852160.

The previous prime is 2165868923. The next prime is 2165868959. The reversal of 2165868952 is 2598685612.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2165868952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165868959) 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, 57549 + ... + 87427.

It is an arithmetic number, because the mean of its divisors is an integer number (74121075).

Almost surely, 2^2165868952 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 2165868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371874400).

2165868952 is an abundant number, since it is smaller than the sum of its proper divisors (2577879848).

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

2165868952 is a wasteful number, since it uses less digits than its factorization.

2165868952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29956 (or 29952 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 2165868952 is about 46538.8971936379. The cubic root of 2165868952 is about 1293.8305213421.

The spelling of 2165868952 in words is "two billion, one hundred sixty-five million, eight hundred sixty-eight thousand, nine hundred fifty-two".