2838382912512 has 660 divisors, whose sum is σ = 10440039744684. Its totient is φ = 763244052480.

The previous prime is 2838382912507. The next prime is 2838382912543. The reversal of 2838382912512 is 2152192838382.

2838382912512 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 38 + 2 + 91 + 2 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1722435757056 + 1115947155456 = 1312416^2 + 1056384^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69071812 + ... + 69112892.

Almost surely, 2^{2838382912512} 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 2838382912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220019872342).

2838382912512 is an abundant number, since it is smaller than the sum of its proper divisors (7601656832172).

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

2838382912512 is a wasteful number, since it uses less digits than its factorization.

2838382912512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41144 (or 41110 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 2838382912512 in words is "two trillion, eight hundred thirty-eight billion, three hundred eighty-two million, nine hundred twelve thousand, five hundred twelve".