2542742167 has 16 divisors (see below), whose sum is σ = 2928748032. Its totient is φ = 2162475360.

The previous prime is 2542742129. The next prime is 2542742179. The reversal of 2542742167 is 7612472452.

It is a cyclic number.

It is not a de Polignac number, because 2542742167 - 2⁷ = 2542742039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542742107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761692 + ... + 765022.

It is an arithmetic number, because the mean of its divisors is an integer number (183046752).

Almost surely, 2^2542742167 is an apocalyptic number.

2542742167 is a deficient number, since it is larger than the sum of its proper divisors (386005865).

2542742167 is a wasteful number, since it uses less digits than its factorization.

2542742167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158.

The product of its digits is 188160, while the sum is 40.

The square root of 2542742167 is about 50425.6102293269. The cubic root of 2542742167 is about 1364.8998154454.

The spelling of 2542742167 in words is "two billion, five hundred forty-two million, seven hundred forty-two thousand, one hundred sixty-seven".