2004006000 has 160 divisors (see below), whose sum is σ = 6801350400. Its totient is φ = 506246400.

The previous prime is 2004005999. The next prime is 2004006029. The reversal of 2004006000 is 6004002.

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 a congruent number.

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, 105211 + ... + 122789.

It is an arithmetic number, because the mean of its divisors is an integer number (42508440).

Almost surely, 2^2004006000 is an apocalyptic number.

2004006000 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 2004006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400675200).

2004006000 is an abundant number, since it is smaller than the sum of its proper divisors (4797344400).

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

2004006000 is a wasteful number, since it uses less digits than its factorization.

2004006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17624 (or 17608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004006000 is about 44766.1255862064. The cubic root of 2004006000 is about 1260.7616961606.

The spelling of 2004006000 in words is "two billion, four million, six thousand", and thus it is an eban number.