2966741316 has 336 divisors, whose sum is σ = 9892192128. Its totient is φ = 755827200.

The previous prime is 2966741291. The next prime is 2966741317. The reversal of 2966741316 is 6131476692.

2966741316 is a `hidden beast` number, since 296 + 6 + 7 + 41 + 316 = 666.

It is a super-3 number, since 3×2966741316³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966741317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16390746 + ... + 16390926.

It is an arithmetic number, because the mean of its divisors is an integer number (29441048).

Almost surely, 2^2966741316 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 2966741316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946096064).

2966741316 is an abundant number, since it is smaller than the sum of its proper divisors (6925450812).

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

2966741316 is a wasteful number, since it uses less digits than its factorization.

2966741316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2966741316 is about 54467.8007266679. The cubic root of 2966741316 is about 1436.9000501435.

The spelling of 2966741316 in words is "two billion, nine hundred sixty-six million, seven hundred forty-one thousand, three hundred sixteen".