2838443213824 has 297 divisors, whose sum is σ = 6400720926117. Its totient is φ = 1257672572928.

The previous prime is 2838443213813. The next prime is 2838443213831. The reversal of 2838443213824 is 4283123448382.

It is a happy number.

The square root of 2838443213824 is 1684768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2209860633600 + 628582580224 = 1486560^2 + 792832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17413761967 + ... + 17413762129.

Almost surely, 2^{2838443213824} is an apocalyptic number.

2838443213824 is the 1684768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838443213824

2838443213824 is an abundant number, since it is smaller than the sum of its proper divisors (3562277712293).

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

2838443213824 is an equidigital number, since it uses as much as digits as its factorization.

2838443213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 201 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 52.

The spelling of 2838443213824 in words is "two trillion, eight hundred thirty-eight billion, four hundred forty-three million, two hundred thirteen thousand, eight hundred twenty-four".