2946927816 has 144 divisors (see below), whose sum is σ = 9773197200. Its totient is φ = 797646528.

The previous prime is 2946927793. The next prime is 2946927821. The reversal of 2946927816 is 6187296492.

2946927816 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 35 ways as a sum of consecutive naturals, for example, 45051 + ... + 89013.

It is an arithmetic number, because the mean of its divisors is an integer number (67869425).

Almost surely, 2^2946927816 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 2946927816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886598600).

2946927816 is an abundant number, since it is smaller than the sum of its proper divisors (6826269384).

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

2946927816 is a wasteful number, since it uses less digits than its factorization.

2946927816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44008 (or 43994 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2946927816 is about 54285.6133427633. The cubic root of 2946927816 is about 1433.6941044387.

The spelling of 2946927816 in words is "two billion, nine hundred forty-six million, nine hundred twenty-seven thousand, eight hundred sixteen".