2791332306 has 128 divisors (see below), whose sum is σ = 7630225920. Its totient is φ = 738201600.

The previous prime is 2791332223. The next prime is 2791332307. The reversal of 2791332306 is 6032331972.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2791332307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388426 + ... + 395546.

It is an arithmetic number, because the mean of its divisors is an integer number (59611140).

Almost surely, 2^2791332306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2791332306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815112960).

2791332306 is an abundant number, since it is smaller than the sum of its proper divisors (4838893614).

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

2791332306 is a wasteful number, since it uses less digits than its factorization.

2791332306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2791332306 is about 52833.0607290549. The cubic root of 2791332306 is about 1408.0038662218.

The spelling of 2791332306 in words is "two billion, seven hundred ninety-one million, three hundred thirty-two thousand, three hundred six".