2986122816 has 168 divisors, whose sum is σ = 8866900224. Its totient is φ = 960215040.

The previous prime is 2986122781. The next prime is 2986122823. The reversal of 2986122816 is 6182216892.

2986122816 is a `hidden beast` number, since 2 + 9 + 8 + 612 + 28 + 1 + 6 = 666.

2986122816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1975501 + ... + 1977011.

It is an arithmetic number, because the mean of its divisors is an integer number (52779168).

Almost surely, 2^2986122816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2986122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433450112).

2986122816 is an abundant number, since it is smaller than the sum of its proper divisors (5880777408).

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

2986122816 is a wasteful number, since it uses less digits than its factorization.

2986122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1636 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 2986122816 is about 54645.4281344743. The cubic root of 2986122816 is about 1440.0223144690.

The spelling of 2986122816 in words is "two billion, nine hundred eighty-six million, one hundred twenty-two thousand, eight hundred sixteen".