2165222400 has 396 divisors, whose sum is σ = 7899635016. Its totient is φ = 522649600.

The previous prime is 2165222383. The next prime is 2165222401. The reversal of 2165222400 is 42225612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2165222401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9292684 + ... + 9292916.

Almost surely, 2^2165222400 is an apocalyptic number.

2165222400 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 2165222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949817508).

2165222400 is an abundant number, since it is smaller than the sum of its proper divisors (5734412616).

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

2165222400 is a wasteful number, since it uses less digits than its factorization.

2165222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2165222400 is about 46531.9503137360. The cubic root of 2165222400 is about 1293.7017644039.

The spelling of 2165222400 in words is "two billion, one hundred sixty-five million, two hundred twenty-two thousand, four hundred".