2004042000 has 160 divisors (see below), whose sum is σ = 6526975104. Its totient is φ = 528960000.

The previous prime is 2004041999. The next prime is 2004042023. The reversal of 2004042000 is 2404002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604347 + ... + 607653.

Almost surely, 2^2004042000 is an apocalyptic number.

2004042000 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 2004042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263487552).

2004042000 is an abundant number, since it is smaller than the sum of its proper divisors (4522933104).

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

2004042000 is a wasteful number, since it uses less digits than its factorization.

2004042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2004042000 is about 44766.5276741451. The cubic root of 2004042000 is about 1260.7692455640.

Adding to 2004042000 its reverse (2404002), we get a palindrome (2006446002).

The spelling of 2004042000 in words is "two billion, four million, forty-two thousand", and thus it is an eban number.