2667438593 has 12 divisors (see below), whose sum is σ = 2791154688. Its totient is φ = 2548995240.

The previous prime is 2667438581. The next prime is 2667438607. The reversal of 2667438593 is 3958347662.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2667438593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2667438503) 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 11 ways as a sum of consecutive naturals, for example, 784928 + ... + 788318.

It is an arithmetic number, because the mean of its divisors is an integer number (232596224).

Almost surely, 2^2667438593 is an apocalyptic number.

2667438593 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2667438593 is a deficient number, since it is larger than the sum of its proper divisors (123716095).

2667438593 is a wasteful number, since it uses less digits than its factorization.

2667438593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4901 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 53.

The square root of 2667438593 is about 51647.2515532046. The cubic root of 2667438593 is about 1386.8563417488.

The spelling of 2667438593 in words is "two billion, six hundred sixty-seven million, four hundred thirty-eight thousand, five hundred ninety-three".