2742794179632 has 640 divisors, whose sum is σ = 9153471640320. Its totient is φ = 778850795520.

The previous prime is 2742794179621. The next prime is 2742794179673. The reversal of 2742794179632 is 2369714972472.

2742794179632 is a `hidden beast` number, since 2 + 7 + 427 + 9 + 4 + 179 + 6 + 32 = 666.

2742794179632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2742794179632.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1046467282 + ... + 1046469902.

It is an arithmetic number, because the mean of its divisors is an integer number (14302299438).

Almost surely, 2^{2742794179632} 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 2742794179632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576735820160).

2742794179632 is an abundant number, since it is smaller than the sum of its proper divisors (6410677460688).

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

2742794179632 is a wasteful number, since it uses less digits than its factorization.

2742794179632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2866 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 2742794179632 in words is "two trillion, seven hundred forty-two billion, seven hundred ninety-four million, one hundred seventy-nine thousand, six hundred thirty-two".