2144144000 has 128 divisors (see below), whose sum is σ = 5515894800. Its totient is φ = 827904000.

The previous prime is 2144143999. The next prime is 2144144017. The reversal of 2144144000 is 4414412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34762816 + 2109381184 = 5896^2 + 45928^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461690 + ... + 466310.

Almost surely, 2^2144144000 is an apocalyptic number.

2144144000 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 2144144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757947400).

2144144000 is an abundant number, since it is smaller than the sum of its proper divisors (3371750800).

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

2144144000 is an equidigital number, since it uses as much as digits as its factorization.

2144144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2144144000 is about 46304.9025482184. The cubic root of 2144144000 is about 1289.4900133402.

Adding to 2144144000 its reverse (4414412), we get a palindrome (2148558412).

The spelling of 2144144000 in words is "two billion, one hundred forty-four million, one hundred forty-four thousand".