2019216000 has 512 divisors, whose sum is σ = 7332249600. Its totient is φ = 489984000.

The previous prime is 2019215983. The next prime is 2019216019. The reversal of 2019216000 is 6129102.

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 63 ways as a sum of consecutive naturals, for example, 34223971 + ... + 34224029.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^2019216000 is an apocalyptic number.

2019216000 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 2019216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666124800).

2019216000 is an abundant number, since it is smaller than the sum of its proper divisors (5313033600).

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

2019216000 is a wasteful number, since it uses less digits than its factorization.

2019216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2019216000 is about 44935.6873765162. The cubic root of 2019216000 is about 1263.9433024827.

The spelling of 2019216000 in words is "two billion, nineteen million, two hundred sixteen thousand".