2666123468200 has 96 divisors (see below), whose sum is σ = 6539719600800. Its totient is φ = 1008039202560.

The previous prime is 2666123468191. The next prime is 2666123468201. The reversal of 2666123468200 is 28643216662.

2666123468200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666123468200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2666123468201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891514 + ... + 2475286.

It is an arithmetic number, because the mean of its divisors is an integer number (68122079175).

Almost surely, 2^{2666123468200} is an apocalyptic number.

2666123468200 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 2666123468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269859800400).

2666123468200 is an abundant number, since it is smaller than the sum of its proper divisors (3873596132600).

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

2666123468200 is a wasteful number, since it uses less digits than its factorization.

2666123468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584251 (or 1584242 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 2666123468200 in words is "two trillion, six hundred sixty-six billion, one hundred twenty-three million, four hundred sixty-eight thousand, two hundred".