2438073864 has 256 divisors, whose sum is σ = 7313817600. Its totient is φ = 751161600.

The previous prime is 2438073797. The next prime is 2438073871. The reversal of 2438073864 is 4683708342.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19197369 + ... + 19197495.

It is an arithmetic number, because the mean of its divisors is an integer number (28569600).

Almost surely, 2^2438073864 is an apocalyptic number.

2438073864 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 2438073864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656908800).

2438073864 is an abundant number, since it is smaller than the sum of its proper divisors (4875743736).

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

2438073864 is a wasteful number, since it uses less digits than its factorization.

2438073864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2438073864 is about 49376.8555499436. The cubic root of 2438073864 is about 1345.9087595011.

The spelling of 2438073864 in words is "two billion, four hundred thirty-eight million, seventy-three thousand, eight hundred sixty-four".