2835966666 has 64 divisors (see below), whose sum is σ = 6390316800. Its totient is φ = 832989696.

The previous prime is 2835966641. The next prime is 2835966689. The reversal of 2835966666 is 6666695382.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194275 + ... + 208361.

It is an arithmetic number, because the mean of its divisors is an integer number (99848700).

Almost surely, 2^2835966666 is an apocalyptic number.

2835966666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835966666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195158400).

2835966666 is an abundant number, since it is smaller than the sum of its proper divisors (3554350134).

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

2835966666 is a wasteful number, since it uses less digits than its factorization.

2835966666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14223.

The product of its digits is 16796160, while the sum is 57.

The square root of 2835966666 is about 53253.7948506959. The cubic root of 2835966666 is about 1415.4690376976.

The spelling of 2835966666 in words is "two billion, eight hundred thirty-five million, nine hundred sixty-six thousand, six hundred sixty-six".