2438104320 has 576 divisors, whose sum is σ = 9418752000. Its totient is φ = 595206144.

The previous prime is 2438104289. The next prime is 2438104321. The reversal of 2438104320 is 234018342.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438104321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30862041 + ... + 30862119.

It is an arithmetic number, because the mean of its divisors is an integer number (16352000).

Almost surely, 2^2438104320 is an apocalyptic number.

2438104320 is a gapful number since it is divisible by the number (20) 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 2438104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709376000).

2438104320 is an abundant number, since it is smaller than the sum of its proper divisors (6980647680).

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

2438104320 is a wasteful number, since it uses less digits than its factorization.

2438104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2438104320 is about 49377.1639525803. The cubic root of 2438104320 is about 1345.9143637648.

The spelling of 2438104320 in words is "two billion, four hundred thirty-eight million, one hundred four thousand, three hundred twenty".