2006688081 has 16 divisors (see below), whose sum is σ = 2753480000. Its totient is φ = 1298991168.

The previous prime is 2006688049. The next prime is 2006688091. The reversal of 2006688081 is 1808866002.

It is not a de Polignac number, because 2006688081 - 2⁵ = 2006688049 is a prime.

It is a super-2 number, since 2×2006688081² = 8053594108854925122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006688091) 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 15 ways as a sum of consecutive naturals, for example, 37275 + ... + 73503.

It is an arithmetic number, because the mean of its divisors is an integer number (172092500).

Almost surely, 2^2006688081 is an apocalyptic number.

It is an amenable number.

2006688081 is a deficient number, since it is larger than the sum of its proper divisors (746791919).

2006688081 is a wasteful number, since it uses less digits than its factorization.

2006688081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36768.

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

The square root of 2006688081 is about 44796.0721604026. The cubic root of 2006688081 is about 1261.3238963357.

The spelling of 2006688081 in words is "two billion, six million, six hundred eighty-eight thousand, eighty-one".