2668682206880 has 96 divisors (see below), whose sum is σ = 6346525230864. Its totient is φ = 1060405272576.

The previous prime is 2668682206819. The next prime is 2668682206919. The reversal of 2668682206880 is 886022868662.

It can be written as a sum of positive squares in 8 ways, for example, as 1992083833744 + 676598373136 = 1411412^2 + 822556^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 120891524 + ... + 120913596.

Almost surely, 2^{2668682206880} is an apocalyptic number.

2668682206880 is a gapful number since it is divisible by the number (20) 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 2668682206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173262615432).

2668682206880 is an abundant number, since it is smaller than the sum of its proper divisors (3677843023984).

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

2668682206880 is a wasteful number, since it uses less digits than its factorization.

2668682206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27058 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 62.

The spelling of 2668682206880 in words is "two trillion, six hundred sixty-eight billion, six hundred eighty-two million, two hundred six thousand, eight hundred eighty".