2144221200 has 240 divisors, whose sum is σ = 8326104000. Its totient is φ = 519782400.

The previous prime is 2144221171. The next prime is 2144221201. The reversal of 2144221200 is 21224412.

2144221200 is a `hidden beast` number, since 2 + 1 + 442 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2144221201) 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, 109776 + ... + 127824.

It is an arithmetic number, because the mean of its divisors is an integer number (34692100).

Almost surely, 2^2144221200 is an apocalyptic number.

2144221200 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 2144221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163052000).

2144221200 is an abundant number, since it is smaller than the sum of its proper divisors (6181882800).

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

2144221200 is a wasteful number, since it uses less digits than its factorization.

2144221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087 (or 18070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2144221200 is about 46305.7361457520. The cubic root of 2144221200 is about 1289.5054892029.

Adding to 2144221200 its reverse (21224412), we get a palindrome (2165445612).

The spelling of 2144221200 in words is "two billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred".