2993332320 has 336 divisors, whose sum is σ = 11571617232. Its totient is φ = 725345280.

The previous prime is 2993332319. The next prime is 2993332367. The reversal of 2993332320 is 232333992.

2993332320 is a `hidden beast` number, since 2 + 99 + 333 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1281874 + ... + 1284206.

It is an arithmetic number, because the mean of its divisors is an integer number (34439337).

Almost surely, 2^2993332320 is an apocalyptic number.

2993332320 is a gapful number since it is divisible by the number (20) 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 2993332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785808616).

2993332320 is an abundant number, since it is smaller than the sum of its proper divisors (8578284912).

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

2993332320 is a wasteful number, since it uses less digits than its factorization.

2993332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 2993332320 is about 54711.3545801966. The cubic root of 2993332320 is about 1441.1802823285.

The spelling of 2993332320 in words is "two billion, nine hundred ninety-three million, three hundred thirty-two thousand, three hundred twenty".