2438822736 has 320 divisors, whose sum is σ = 8359464960. Its totient is φ = 666247680.

The previous prime is 2438822723. The next prime is 2438822741. The reversal of 2438822736 is 6372288342.

2438822736 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 junction number, because it is equal to n+sod(n) for n = 2438822691 and 2438822700.

It is a congruent number.

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, 7943895 + ... + 7944201.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^2438822736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438822736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2438822736 is an abundant number, since it is smaller than the sum of its proper divisors (5920642224).

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

2438822736 is a wasteful number, since it uses less digits than its factorization.

2438822736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

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

The square root of 2438822736 is about 49384.4381966627. The cubic root of 2438822736 is about 1346.0465472607.

The spelling of 2438822736 in words is "two billion, four hundred thirty-eight million, eight hundred twenty-two thousand, seven hundred thirty-six".