2667681 has 16 divisors (see below), whose sum is σ = 4089600. Its totient is φ = 1716624.

The previous prime is 2667667. The next prime is 2667689. The reversal of 2667681 is 1867662.

2667681 = 39² + 40² + ... + 200².

It is a happy number.

It is not a de Polignac number, because 2667681 - 2²¹ = 570529 is a prime.

It is a super-2 number, since 2×2667681² = 14233043835522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667689) 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, 921 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (255600).

2^2667681 is an apocalyptic number.

It is an amenable number.

2667681 is a deficient number, since it is larger than the sum of its proper divisors (1421919).

2667681 is a wasteful number, since it uses less digits than its factorization.

2667681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2667681 is about 1633.3037072143. The cubic root of 2667681 is about 138.6898351276.

The spelling of 2667681 in words is "two million, six hundred sixty-seven thousand, six hundred eighty-one".