2144452200 has 192 divisors, whose sum is σ = 7326227520. Its totient is φ = 514560000.

The previous prime is 2144452181. The next prime is 2144452207. The reversal of 2144452200 is 22544412.

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 (2144452207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664992 + ... + 668208.

It is an arithmetic number, because the mean of its divisors is an integer number (38157435).

Almost surely, 2^2144452200 is an apocalyptic number.

2144452200 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 2144452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663113760).

2144452200 is an abundant number, since it is smaller than the sum of its proper divisors (5181775320).

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

2144452200 is a wasteful number, since it uses less digits than its factorization.

2144452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2144452200 is about 46308.2303699893. The cubic root of 2144452200 is about 1289.5517942936.

Adding to 2144452200 its reverse (22544412), we get a palindrome (2166996612).

The spelling of 2144452200 in words is "two billion, one hundred forty-four million, four hundred fifty-two thousand, two hundred".