2666100106749 has 8 divisors (see below), whose sum is σ = 3554822594752. Its totient is φ = 1777388844960.

The previous prime is 2666100106721. The next prime is 2666100106801. The reversal of 2666100106749 is 9476010016662.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2666100106749 - 2²⁹ = 2665563235837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2666100106698 and 2666100106707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666100106249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2235832 + ... + 3214209.

It is an arithmetic number, because the mean of its divisors is an integer number (444352824344).

Almost surely, 2^{2666100106749} is an apocalyptic number.

It is an amenable number.

2666100106749 is a deficient number, since it is larger than the sum of its proper divisors (888722488003).

2666100106749 is a wasteful number, since it uses less digits than its factorization.

2666100106749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613107.

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 2666100106749 in words is "two trillion, six hundred sixty-six billion, one hundred million, one hundred six thousand, seven hundred forty-nine".