2165122080 has 288 divisors, whose sum is σ = 8215421760. Its totient is φ = 514775040.

The previous prime is 2165122033. The next prime is 2165122093. The reversal of 2165122080 is 802215612.

It is a happy number.

2165122080 is a `hidden beast` number, since 2 + 1 + 651 + 2 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838231 + ... + 840809.

It is an arithmetic number, because the mean of its divisors is an integer number (28525770).

Almost surely, 2^2165122080 is an apocalyptic number.

2165122080 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 2165122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107710880).

2165122080 is an abundant number, since it is smaller than the sum of its proper divisors (6050299680).

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

2165122080 is a wasteful number, since it uses less digits than its factorization.

2165122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2165122080 is about 46530.8723322484. The cubic root of 2165122080 is about 1293.6817839829.

Adding to 2165122080 its reverse (802215612), we get a palindrome (2967337692).

The spelling of 2165122080 in words is "two billion, one hundred sixty-five million, one hundred twenty-two thousand, eighty".