2993808384 has 352 divisors, whose sum is σ = 10480640000. Its totient is φ = 826122240.

The previous prime is 2993808383. The next prime is 2993808407. The reversal of 2993808384 is 4838083992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2993808384.

It is not an unprimeable number, because it can be changed into a prime (2993808383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999367 + ... + 5999865.

Almost surely, 2^2993808384 is an apocalyptic number.

2993808384 is a gapful number since it is divisible by the number (24) 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 2993808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240320000).

2993808384 is an abundant number, since it is smaller than the sum of its proper divisors (7486831616).

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

2993808384 is a wasteful number, since it uses less digits than its factorization.

2993808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2993808384 is about 54715.7050946070. The cubic root of 2993808384 is about 1441.2566807598.

The spelling of 2993808384 in words is "two billion, nine hundred ninety-three million, eight hundred eight thousand, three hundred eighty-four".