2806867890666 has 192 divisors, whose sum is σ = 7401238790400. Its totient is φ = 751861813248.

The previous prime is 2806867890647. The next prime is 2806867890703. The reversal of 2806867890666 is 6660987686082.

It is a junction number, because it is equal to n+sod(n) for n = 2806867890594 and 2806867890603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18710505 + ... + 18859923.

It is an arithmetic number, because the mean of its divisors is an integer number (38548118700).

Almost surely, 2^{2806867890666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806867890666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700619395200).

2806867890666 is an abundant number, since it is smaller than the sum of its proper divisors (4594370899734).

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

2806867890666 is a wasteful number, since it uses less digits than its factorization.

2806867890666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149613 (or 149610 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 2806867890666 in words is "two trillion, eight hundred six billion, eight hundred sixty-seven million, eight hundred ninety thousand, six hundred sixty-six".