2742466443312 has 20 divisors (see below), whose sum is σ = 7084704978680. Its totient is φ = 914155481088.

The previous prime is 2742466443259. The next prime is 2742466443319. The reversal of 2742466443312 is 2133446642472.

It is a super-2 number, since 2×2742466443312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 57134717569 = 2742466443312 / (2 + 7 + 4 + 2 + 4 + 6 + 6 + 4 + 4 + 3 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (2742466443319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28567358737 + ... + 28567358832.

It is an arithmetic number, because the mean of its divisors is an integer number (354235248934).

Almost surely, 2^{2742466443312} is an apocalyptic number.

It is an amenable number.

2742466443312 is an abundant number, since it is smaller than the sum of its proper divisors (4342238535368).

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

2742466443312 is a wasteful number, since it uses less digits than its factorization.

2742466443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57134717580 (or 57134717574 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 48.

The spelling of 2742466443312 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-six million, four hundred forty-three thousand, three hundred twelve".