2742577077341 has 8 divisors (see below), whose sum is σ = 2982389064120. Its totient is φ = 2511485526528.

The previous prime is 2742577077299. The next prime is 2742577077349. The reversal of 2742577077341 is 1437707752472.

It is a happy number.

2742577077341 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2162282020900 + 580295056441 = 1470470^2 + 761771^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2742577077341 - 2³⁰ = 2741503335517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742577077349) 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, 2180108336 + ... + 2180109593.

It is an arithmetic number, because the mean of its divisors is an integer number (372798633015).

Almost surely, 2^{2742577077341} is an apocalyptic number.

It is an amenable number.

2742577077341 is a deficient number, since it is larger than the sum of its proper divisors (239811986779).

2742577077341 is a wasteful number, since it uses less digits than its factorization.

2742577077341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360217983.

The product of its (nonzero) digits is 16134720, while the sum is 56.

The spelling of 2742577077341 in words is "two trillion, seven hundred forty-two billion, five hundred seventy-seven million, seventy-seven thousand, three hundred forty-one".