2688967 has 4 divisors (see below), whose sum is σ = 2781720. Its totient is φ = 2596216.

The previous prime is 2688949. The next prime is 2688977. The reversal of 2688967 is 7698862.

2688967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2688967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46333 + ... + 46390.

It is an arithmetic number, because the mean of its divisors is an integer number (695430).

2^2688967 is an apocalyptic number.

2688967 is a deficient number, since it is larger than the sum of its proper divisors (92753).

2688967 is an equidigital number, since it uses as much as digits as its factorization.

2688967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92752.

The product of its digits is 290304, while the sum is 46.

The square root of 2688967 is about 1639.8070008388. The cubic root of 2688967 is about 139.0577369997.

It can be divided in two parts, 2688 and 967, that added together give a triangular number (3655 = T₈₅).

The spelling of 2688967 in words is "two million, six hundred eighty-eight thousand, nine hundred sixty-seven".