2985984000000 has 931 divisors, whose sum is σ = 11192155390921. Its totient is φ = 796262400000.

The previous prime is 2985983999981. The next prime is 2985984000007. The reversal of 2985984000000 is 4895892.

The square root of 2985984000000 is 1728000.

The cubic root of 2985984000000 is 14400.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)⁶.

It can be written as a sum of positive squares in 3 ways, for example, as 2616008638464 + 369975361536 = 1617408^2 + 608256^2 .

It is a super-2 number, since 2×2985984000000² (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2985984000000.

It is not an unprimeable number, because it can be changed into a prime (2985984000007) by changing a digit.

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 48 ways as a sum of consecutive naturals, for example, 597196799998 + ... + 597196800002.

Almost surely, 2^{2985984000000} is an apocalyptic number.

2985984000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2985984000000 is the 1728000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985984000000

2985984000000 is an abundant number, since it is smaller than the sum of its proper divisors (8206171390921).

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

2985984000000 is an frugal number, since it uses more digits than its factorization.

2985984000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

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

Adding to 2985984000000 its reverse (4895892), we get a palindrome (2985988895892).

The spelling of 2985984000000 in words is "two trillion, nine hundred eighty-five billion, nine hundred eighty-four million", and thus it is an aban number.