2666668666662 has 576 divisors, whose sum is σ = 8130985175040. Its totient is φ = 614073208320.

The previous prime is 2666668666661. The next prime is 2666668666709.

2666668666662 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2666668666662² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666668666661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 579330453 + ... + 579335055.

Almost surely, 2^{2666668666662} is an apocalyptic number.

2666668666662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666668666662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065492587520).

2666668666662 is an abundant number, since it is smaller than the sum of its proper divisors (5464316508378).

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

2666668666662 is a wasteful number, since it uses less digits than its factorization.

2666668666662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4755 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 72.

The spelling of 2666668666662 in words is "two trillion, six hundred sixty-six billion, six hundred sixty-eight million, six hundred sixty-six thousand, six hundred sixty-two".