2985984000 has 448 divisors, whose sum is σ = 11174241780. Its totient is φ = 796262400.

The previous prime is 2985983939. The next prime is 2985984011. The reversal of 2985984000 is 4895892.

The cubic root of 2985984000 is 1440.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (2!)³.

It can be written as a sum of positive squares in 2 ways, for example, as 2018525184 + 967458816 = 44928^2 + 31104^2 .

It is a super-2 number, since 2×2985984000² = 17832200896512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 597196798 + ... + 597196802.

Almost surely, 2^2985984000 is an apocalyptic number.

2985984000 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 2985984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587120890).

2985984000 is an abundant number, since it is smaller than the sum of its proper divisors (8188257780).

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

2985984000 is an frugal number, since it uses more digits than its factorization.

2985984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2985984000 is about 54644.1579677096.

Multiplying 2985984000 by its product of nonzero digits (207360), we get a square (619173642240000 = 24883200²).

2985984000 divided by its product of nonzero digits (207360) gives a square (14400 = 120²).

The spelling of 2985984000 in words is "two billion, nine hundred eighty-five million, nine hundred eighty-four thousand".