2542707742127 has 16 divisors (see below), whose sum is σ = 2978156670720. Its totient is φ = 2125467715392.

The previous prime is 2542707742117. The next prime is 2542707742139. The reversal of 2542707742127 is 7212477072452.

It is not a de Polignac number, because 2542707742127 - 2²⁴ = 2542690964911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542707742117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6375302 + ... + 6762387.

It is an arithmetic number, because the mean of its divisors is an integer number (186134791920).

Almost surely, 2^{2542707742127} is an apocalyptic number.

2542707742127 is a deficient number, since it is larger than the sum of its proper divisors (435448928593).

2542707742127 is a wasteful number, since it uses less digits than its factorization.

2542707742127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138382.

The product of its (nonzero) digits is 3073280, while the sum is 50.

The spelling of 2542707742127 in words is "two trillion, five hundred forty-two billion, seven hundred seven million, seven hundred forty-two thousand, one hundred twenty-seven".