2742404506777 has 8 divisors (see below), whose sum is σ = 2954945699720. Its totient is φ = 2530090028160.

The previous prime is 2742404506697. The next prime is 2742404506799. The reversal of 2742404506777 is 7776054042472.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76055159961 + 2666349346816 = 275781^2 + 1632896^2 .

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 2742404506777 - 2²⁷ = 2742270289049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2742404500777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56653452 + ... + 56701837.

It is an arithmetic number, because the mean of its divisors is an integer number (369368212465).

Almost surely, 2^{2742404506777} is an apocalyptic number.

It is an amenable number.

2742404506777 is a deficient number, since it is larger than the sum of its proper divisors (212541192943).

2742404506777 is a wasteful number, since it uses less digits than its factorization.

2742404506777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113357163.

The product of its (nonzero) digits is 18439680, while the sum is 55.

The spelling of 2742404506777 in words is "two trillion, seven hundred forty-two billion, four hundred four million, five hundred six thousand, seven hundred seventy-seven".