2966339376 has 360 divisors, whose sum is σ = 11214567936. Its totient is φ = 710760960.

The previous prime is 2966339359. The next prime is 2966339399. The reversal of 2966339376 is 6739336692.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873081 + ... + 1874663.

Almost surely, 2^2966339376 is an apocalyptic number.

2966339376 is a gapful number since it is divisible by the number (26) 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 2966339376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607283968).

2966339376 is an abundant number, since it is smaller than the sum of its proper divisors (8248228560).

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

2966339376 is a wasteful number, since it uses less digits than its factorization.

2966339376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1619 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The square root of 2966339376 is about 54464.1108988295. The cubic root of 2966339376 is about 1436.8351558561.

The spelling of 2966339376 in words is "two billion, nine hundred sixty-six million, three hundred thirty-nine thousand, three hundred seventy-six".