2666688 has 112 divisors (see below), whose sum is σ = 8046720. Its totient is φ = 774144.

The previous prime is 2666683. The next prime is 2666693. The reversal of 2666688 is 8866662.

2666688 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 1633²-1.

It is an interprime number because it is at equal distance from previous prime (2666683) and next prime (2666693).

It is a super-2 number, since 2×2666688² = 14222449778688, which contains 22 as substring.

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

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2666683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61995 + ... + 62037.

2^2666688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023360).

2666688 is an abundant number, since it is smaller than the sum of its proper divisors (5380032).

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

2666688 is a wasteful number, since it uses less digits than its factorization.

2666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2666688 is about 1632.9996938150. Note that the first 3 decimals coincide. The cubic root of 2666688 is about 138.6726246618.

The spelling of 2666688 in words is "two million, six hundred sixty-six thousand, six hundred eighty-eight".