2004372216 has 480 divisors, whose sum is σ = 7488835200. Its totient is φ = 486466560.

The previous prime is 2004372211. The next prime is 2004372217. The reversal of 2004372216 is 6122734002.

2004372216 is a `hidden beast` number, since 2 + 0 + 0 + 437 + 221 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2004372216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004372211) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14419875 + ... + 14420013.

It is an arithmetic number, because the mean of its divisors is an integer number (15601740).

Almost surely, 2^2004372216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004372216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744417600).

2004372216 is an abundant number, since it is smaller than the sum of its proper divisors (5484462984).

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

2004372216 is a wasteful number, since it uses less digits than its factorization.

2004372216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2004372216 is about 44770.2157242960. The cubic root of 2004372216 is about 1260.8384895075.

The spelling of 2004372216 in words is "two billion, four million, three hundred seventy-two thousand, two hundred sixteen".