2985216000 has 576 divisors, whose sum is σ = 11222789760. Its totient is φ = 702873600.

The previous prime is 2985215993. The next prime is 2985216011. The reversal of 2985216000 is 6125892.

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 47 ways as a sum of consecutive naturals, for example, 129791989 + ... + 129792011.

It is an arithmetic number, because the mean of its divisors is an integer number (19484010).

Almost surely, 2^2985216000 is an apocalyptic number.

2985216000 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 2985216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611394880).

2985216000 is an abundant number, since it is smaller than the sum of its proper divisors (8237573760).

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

2985216000 is a wasteful number, since it uses less digits than its factorization.

2985216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2985216000 is about 54637.1302321050. The cubic root of 2985216000 is about 1439.8765326239.

The spelling of 2985216000 in words is "two billion, nine hundred eighty-five million, two hundred sixteen thousand".