2866116000 has 192 divisors, whose sum is σ = 10243449216. Its totient is φ = 694784000.

The previous prime is 2866115909. The next prime is 2866116031. The reversal of 2866116000 is 6116682.

2866116000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 121144 + ... + 142856.

It is an arithmetic number, because the mean of its divisors is an integer number (53351298).

Almost surely, 2^2866116000 is an apocalyptic number.

2866116000 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 2866116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121724608).

2866116000 is an abundant number, since it is smaller than the sum of its proper divisors (7377333216).

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

2866116000 is a wasteful number, since it uses less digits than its factorization.

2866116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2866116000 is about 53536.1186490018. The cubic root of 2866116000 is about 1420.4673460063.

The spelling of 2866116000 in words is "two billion, eight hundred sixty-six million, one hundred sixteen thousand".