2742740296704 has 352 divisors, whose sum is σ = 8721713491200. Its totient is φ = 848337960960.

The previous prime is 2742740296643. The next prime is 2742740296711. The reversal of 2742740296704 is 4076920472472.

2742740296704 is a `hidden beast` number, since 27 + 427 + 40 + 2 + 96 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33330042 + ... + 33412230.

Almost surely, 2^{2742740296704} is an apocalyptic number.

2742740296704 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 2742740296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360856745600).

2742740296704 is an abundant number, since it is smaller than the sum of its proper divisors (5978973194496).

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

2742740296704 is a wasteful number, since it uses less digits than its factorization.

2742740296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82306 (or 82282 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2742740296704 in words is "two trillion, seven hundred forty-two billion, seven hundred forty million, two hundred ninety-six thousand, seven hundred four".