2742056217327 has 32 divisors (see below), whose sum is σ = 4182474193920. Its totient is φ = 1565351274240.

The previous prime is 2742056217319. The next prime is 2742056217371. The reversal of 2742056217327 is 7237126502472.

It is not a de Polignac number, because 2742056217327 - 2³ = 2742056217319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742056217317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172307523 + ... + 172323435.

It is an arithmetic number, because the mean of its divisors is an integer number (130702318560).

Almost surely, 2^{2742056217327} is an apocalyptic number.

2742056217327 is a deficient number, since it is larger than the sum of its proper divisors (1440417976593).

2742056217327 is a wasteful number, since it uses less digits than its factorization.

2742056217327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23463.

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 2742056217327 in words is "two trillion, seven hundred forty-two billion, fifty-six million, two hundred seventeen thousand, three hundred twenty-seven".