2004212000 has 192 divisors, whose sum is σ = 5811886080. Its totient is φ = 664704000.

The previous prime is 2004211997. The next prime is 2004212003. The reversal of 2004212000 is 2124002.

It is an interprime number because it is at equal distance from previous prime (2004211997) and next prime (2004212003).

It is not an unprimeable number, because it can be changed into a prime (2004212003) 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 31 ways as a sum of consecutive naturals, for example, 866846 + ... + 869154.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^2004212000 is an apocalyptic number.

2004212000 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 2004212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

2004212000 is an abundant number, since it is smaller than the sum of its proper divisors (3807674080).

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

2004212000 is a wasteful number, since it uses less digits than its factorization.

2004212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2004212000 is about 44768.4263739524. The cubic root of 2004212000 is about 1260.8048943032.

Adding to 2004212000 its reverse (2124002), we get a palindrome (2006336002).

The spelling of 2004212000 in words is "two billion, four million, two hundred twelve thousand".