2667749977167 has 16 divisors (see below), whose sum is σ = 4014169246080. Its totient is φ = 1561065816800.

The previous prime is 2667749977159. The next prime is 2667749977219. The reversal of 2667749977167 is 7617799477662.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2667749977167 - 2³ = 2667749977159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2667749977092 and 2667749977101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667749970167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393807809 + ... + 1393809722.

It is an arithmetic number, because the mean of its divisors is an integer number (250885577880).

Almost surely, 2^{2667749977167} is an apocalyptic number.

2667749977167 is a deficient number, since it is larger than the sum of its proper divisors (1346419268913).

2667749977167 is a wasteful number, since it uses less digits than its factorization.

2667749977167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787617574.

The product of its digits is 2352442176, while the sum is 78.

The spelling of 2667749977167 in words is "two trillion, six hundred sixty-seven billion, seven hundred forty-nine million, nine hundred seventy-seven thousand, one hundred sixty-seven".