2006004000 has 768 divisors, whose sum is σ = 8876335104. Its totient is φ = 382464000.

The previous prime is 2006003959. The next prime is 2006004023. The reversal of 2006004000 is 4006002.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011917 + ... + 12012083.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728).

Almost surely, 2^2006004000 is an apocalyptic number.

2006004000 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 2006004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438167552).

2006004000 is an abundant number, since it is smaller than the sum of its proper divisors (6870331104).

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

2006004000 is a wasteful number, since it uses less digits than its factorization.

2006004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

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

The square root of 2006004000 is about 44788.4360075232. The cubic root of 2006004000 is about 1261.1805513905.

The spelling of 2006004000 in words is "two billion, six million, four thousand", and thus it is an eban number.