2007216000 has 384 divisors, whose sum is σ = 7372347840. Its totient is φ = 523161600.

The previous prime is 2007215999. The next prime is 2007216007. The reversal of 2007216000 is 6127002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7631869 + ... + 7632131.

Almost surely, 2^2007216000 is an apocalyptic number.

2007216000 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 2007216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686173920).

2007216000 is an abundant number, since it is smaller than the sum of its proper divisors (5365131840).

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

2007216000 is a wasteful number, since it uses less digits than its factorization.

2007216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2007216000 is about 44801.9642426535. The cubic root of 2007216000 is about 1261.4344962295.

The spelling of 2007216000 in words is "two billion, seven million, two hundred sixteen thousand".