2004222034320 has 160 divisors (see below), whose sum is σ = 6801049954944. Its totient is φ = 484213555200.

The previous prime is 2004222034307. The next prime is 2004222034391. The reversal of 2004222034320 is 234302224002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 522001 + ... + 2069040.

Almost surely, 2^{2004222034320} is an apocalyptic number.

2004222034320 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 2004222034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400524977472).

2004222034320 is an abundant number, since it is smaller than the sum of its proper divisors (4796827920624).

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

2004222034320 is a wasteful number, since it uses less digits than its factorization.

2004222034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591361 (or 2591355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2004222034320 its reverse (234302224002), we get a palindrome (2238524258322).

The spelling of 2004222034320 in words is "two trillion, four billion, two hundred twenty-two million, thirty-four thousand, three hundred twenty".