2144964224 has 96 divisors (see below), whose sum is σ = 4658100300. Its totient is φ = 983384064.

The previous prime is 2144964193. The next prime is 2144964229. The reversal of 2144964224 is 4224694412.

It can be written as a sum of positive squares in 6 ways, for example, as 377602624 + 1767361600 = 19432^2 + 42040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144964229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4953512 + ... + 4953944.

Almost surely, 2^2144964224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329050150).

2144964224 is an abundant number, since it is smaller than the sum of its proper divisors (2513136076).

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

2144964224 is a wasteful number, since it uses less digits than its factorization.

2144964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 2144964224 is about 46313.7584741295. The cubic root of 2144964224 is about 1289.6544201801.

The spelling of 2144964224 in words is "two billion, one hundred forty-four million, nine hundred sixty-four thousand, two hundred twenty-four".