2438328144 has 80 divisors (see below), whose sum is σ = 7211923328. Its totient is φ = 695402496.

The previous prime is 2438328133. The next prime is 2438328203. The reversal of 2438328144 is 4418238342.

It is a happy number.

2438328144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 187584 + ... + 200160.

Almost surely, 2^2438328144 is an apocalyptic number.

2438328144 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 2438328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605961664).

2438328144 is an abundant number, since it is smaller than the sum of its proper divisors (4773595184).

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

2438328144 is a wasteful number, since it uses less digits than its factorization.

2438328144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172 (or 13166 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 2438328144 is about 49379.4303733852. The cubic root of 2438328144 is about 1345.9555485925.

The spelling of 2438328144 in words is "two billion, four hundred thirty-eight million, three hundred twenty-eight thousand, one hundred forty-four".