2004213332000 has 192 divisors, whose sum is σ = 5503050379008. Its totient is φ = 711028480000.

The previous prime is 2004213331973. The next prime is 2004213332003. The reversal of 2004213332000 is 2333124002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2004213332003) 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, 1248509 + ... + 2359491.

It is an arithmetic number, because the mean of its divisors is an integer number (28661720724).

Almost surely, 2^{2004213332000} is an apocalyptic number.

2004213332000 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 2004213332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751525189504).

2004213332000 is an abundant number, since it is smaller than the sum of its proper divisors (3498837047008).

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

2004213332000 is a wasteful number, since it uses less digits than its factorization.

2004213332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111060 (or 1111042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2004213332000 its reverse (2333124002), we get a palindrome (2006546456002).

The spelling of 2004213332000 in words is "two trillion, four billion, two hundred thirteen million, three hundred thirty-two thousand".