2772042167 has 2 divisors, whose sum is σ = 2772042168. Its totient is φ = 2772042166.

The previous prime is 2772042127. The next prime is 2772042181. The reversal of 2772042167 is 7612402772.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2772042167 - 2⁸ = 2772041911 is a prime.

It is a super-3 number, since 3×2772042167³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2772042167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772042127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386021083 + 1386021084.

It is an arithmetic number, because the mean of its divisors is an integer number (1386021084).

Almost surely, 2^2772042167 is an apocalyptic number.

2772042167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772042167 is an equidigital number, since it uses as much as digits as its factorization.

2772042167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 2772042167 is about 52650.1867707988. The cubic root of 2772042167 is about 1404.7529218558.

The spelling of 2772042167 in words is "two billion, seven hundred seventy-two million, forty-two thousand, one hundred sixty-seven".