2165095200 has 144 divisors (see below), whose sum is σ = 7219600416. Its totient is φ = 563251200.

The previous prime is 2165095199. The next prime is 2165095217. The reversal of 2165095200 is 25905612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 87399 + ... + 109401.

It is an arithmetic number, because the mean of its divisors is an integer number (50136114).

Almost surely, 2^2165095200 is an apocalyptic number.

2165095200 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 2165095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609800208).

2165095200 is an abundant number, since it is smaller than the sum of its proper divisors (5054505216).

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

2165095200 is a wasteful number, since it uses less digits than its factorization.

2165095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2165095200 is about 46530.5834908611. The cubic root of 2165095200 is about 1293.6764302724.

The spelling of 2165095200 in words is "two billion, one hundred sixty-five million, ninety-five thousand, two hundred".