2966327296 has 117 divisors (see below), whose sum is σ = 6373179561. Its totient is φ = 1380335616.

The previous prime is 2966327279. The next prime is 2966327311. The reversal of 2966327296 is 6927236692.

The square root of 2966327296 is 54464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2654310400 + 312016896 = 51520^2 + 17664^2 .

It is a Duffinian number.

Its product of digits (2939328) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80170990 + ... + 80171026.

Almost surely, 2^2966327296 is an apocalyptic number.

2966327296 is the 54464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966327296

2966327296 is an abundant number, since it is smaller than the sum of its proper divisors (3406852265).

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

2966327296 is an frugal number, since it uses more digits than its factorization.

2966327296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 52.

The cubic root of 2966327296 is about 1436.8332054171.

The spelling of 2966327296 in words is "two billion, nine hundred sixty-six million, three hundred twenty-seven thousand, two hundred ninety-six".