2994432000 has 384 divisors, whose sum is σ = 11406769920. Its totient is φ = 683212800.

The previous prime is 2994431983. The next prime is 2994432013. The reversal of 2994432000 is 2344992.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375722 + ... + 5376278.

It is an arithmetic number, because the mean of its divisors is an integer number (29705130).

Almost surely, 2^2994432000 is an apocalyptic number.

2994432000 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 2994432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

2994432000 is an abundant number, since it is smaller than the sum of its proper divisors (8412337920).

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

2994432000 is an equidigital number, since it uses as much as digits as its factorization.

2994432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2994432000 is about 54721.4034907732. The cubic root of 2994432000 is about 1441.3567459846.

Adding to 2994432000 its reverse (2344992), we get a palindrome (2996776992).

The spelling of 2994432000 in words is "two billion, nine hundred ninety-four million, four hundred thirty-two thousand".