2138027104584 has 288 divisors, whose sum is σ = 6823943544600. Its totient is φ = 602903347200.

The previous prime is 2138027104583. The next prime is 2138027104627. The reversal of 2138027104584 is 4854017208312.

2138027104584 is a `hidden beast` number, since 2 + 1 + 38 + 0 + 27 + 10 + 4 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2060229622500 + 77797482084 = 1435350^2 + 278922^2 .

It is not an unprimeable number, because it can be changed into a prime (2138027104583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181167484 + ... + 181179284.

Almost surely, 2^{2138027104584} is an apocalyptic number.

2138027104584 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 2138027104584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411971772300).

2138027104584 is an abundant number, since it is smaller than the sum of its proper divisors (4685916440016).

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

2138027104584 is a wasteful number, since it uses less digits than its factorization.

2138027104584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2138027104584 in words is "two trillion, one hundred thirty-eight billion, twenty-seven million, one hundred four thousand, five hundred eighty-four".