2681688 has 32 divisors (see below), whose sum is σ = 6937200. Its totient is φ = 862848.

The previous prime is 2681683. The next prime is 2681713. The reversal of 2681688 is 8861862.

2681688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681681) 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 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 2622.

2^2681688 is an apocalyptic number.

It is an amenable number.

2681688 is an abundant number, since it is smaller than the sum of its proper divisors (4255512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2681688 is a wasteful number, since it uses less digits than its factorization.

2681688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3887 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 2681688 is about 1637.5860282745. The cubic root of 2681688 is about 138.9321477576.

The spelling of 2681688 in words is "two million, six hundred eighty-one thousand, six hundred eighty-eight".