2234442144 has 144 divisors (see below), whose sum is σ = 6495400800. Its totient is φ = 672038400.

The previous prime is 2234442127. The next prime is 2234442151. The reversal of 2234442144 is 4412444322.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730139 + ... + 1731429.

It is an arithmetic number, because the mean of its divisors is an integer number (45106950).

Almost surely, 2^2234442144 is an apocalyptic number.

2234442144 is a gapful number since it is divisible by the number (24) 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 2234442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247700400).

2234442144 is an abundant number, since it is smaller than the sum of its proper divisors (4260958656).

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

2234442144 is a wasteful number, since it uses less digits than its factorization.

2234442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2234442144 is about 47269.8862279147. The cubic root of 2234442144 is about 1307.3434781016.

Adding to 2234442144 its reverse (4412444322), we get a palindrome (6646886466).

The spelling of 2234442144 in words is "two billion, two hundred thirty-four million, four hundred forty-two thousand, one hundred forty-four".