2742426742240 has 48 divisors (see below), whose sum is σ = 6560995654080. Its totient is φ = 1083084986880.

The previous prime is 2742426742189. The next prime is 2742426742243. The reversal of 2742426742240 is 422476242472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742426742243) 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 7 ways as a sum of consecutive naturals, for example, 108469431 + ... + 108494710.

It is an arithmetic number, because the mean of its divisors is an integer number (136687409460).

Almost surely, 2^{2742426742240} is an apocalyptic number.

2742426742240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742426742240 is an abundant number, since it is smaller than the sum of its proper divisors (3818568911840).

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

2742426742240 is a wasteful number, since it uses less digits than its factorization.

2742426742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216964235 (or 216964227 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 46.

The spelling of 2742426742240 in words is "two trillion, seven hundred forty-two billion, four hundred twenty-six million, seven hundred forty-two thousand, two hundred forty".