2438884224 has 192 divisors, whose sum is σ = 8298108000. Its totient is φ = 672731136.

The previous prime is 2438884181. The next prime is 2438884271. The reversal of 2438884224 is 4224888342.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2438884224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228642 + ... + 239070.

Almost surely, 2^2438884224 is an apocalyptic number.

2438884224 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 2438884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149054000).

2438884224 is an abundant number, since it is smaller than the sum of its proper divisors (5859223776).

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

2438884224 is a wasteful number, since it uses less digits than its factorization.

2438884224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10470 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 2438884224 is about 49385.0607370286. The cubic root of 2438884224 is about 1346.0578594146.

The spelling of 2438884224 in words is "two billion, four hundred thirty-eight million, eight hundred eighty-four thousand, two hundred twenty-four".