2144100224 has 64 divisors (see below), whose sum is σ = 4961810400. Its totient is φ = 903813120.

The previous prime is 2144100209. The next prime is 2144100229. The reversal of 2144100224 is 4220014412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2144100196 and 2144100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144100229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35042 + ... + 74270.

Almost surely, 2^2144100224 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 2144100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480905200).

2144100224 is an abundant number, since it is smaller than the sum of its proper divisors (2817710176).

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

2144100224 is an equidigital number, since it uses as much as digits as its factorization.

2144100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39311 (or 39299 counting only the distinct ones).

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

The square root of 2144100224 is about 46304.4298528769. The cubic root of 2144100224 is about 1289.4812376394.

Adding to 2144100224 its reverse (4220014412), we get a palindrome (6364114636).

The spelling of 2144100224 in words is "two billion, one hundred forty-four million, one hundred thousand, two hundred twenty-four".