2006666666664 has 128 divisors (see below), whose sum is σ = 5500220837760. Its totient is φ = 605030400000.

The previous prime is 2006666666663. The next prime is 2006666666687. The reversal of 2006666666664 is 4666666666002.

It is a super-2 number, since 2×2006666666664² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2006666666598 and 2006666666607.

It is not an unprimeable number, because it can be changed into a prime (2006666666663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76399294 + ... + 76425554.

It is an arithmetic number, because the mean of its divisors is an integer number (42970475295).

Almost surely, 2^{2006666666664} is an apocalyptic number.

2006666666664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006666666664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750110418880).

2006666666664 is an abundant number, since it is smaller than the sum of its proper divisors (3493554171096).

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

2006666666664 is a wasteful number, since it uses less digits than its factorization.

2006666666664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27723 (or 27719 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 60.

The spelling of 2006666666664 in words is "two trillion, six billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred sixty-four".