2973312000 has 528 divisors, whose sum is σ = 11208553200. Its totient is φ = 756940800.

The previous prime is 2973311993. The next prime is 2973312059. The reversal of 2973312000 is 2133792.

It can be written as a sum of positive squares in 8 ways, for example, as 1408951296 + 1564360704 = 37536^2 + 39552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33407956 + ... + 33408044.

Almost surely, 2^2973312000 is an apocalyptic number.

2973312000 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 2973312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604276600).

2973312000 is an abundant number, since it is smaller than the sum of its proper divisors (8235241200).

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

2973312000 is a wasteful number, since it uses less digits than its factorization.

2973312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2973312000 is about 54528.0845069768. The cubic root of 2973312000 is about 1437.9600745387.

Adding to 2973312000 its reverse (2133792), we get a palindrome (2975445792).

The spelling of 2973312000 in words is "two billion, nine hundred seventy-three million, three hundred twelve thousand".