2006046000 has 800 divisors, whose sum is σ = 8707121280. Its totient is φ = 435456000.

The previous prime is 2006045981. The next prime is 2006046041. The reversal of 2006046000 is 6406002.

2006046000 is a `hidden beast` number, since 2 + 0 + 0 + 60 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 159 ways as a sum of consecutive naturals, for example, 32885970 + ... + 32886030.

Almost surely, 2^2006046000 is an apocalyptic number.

2006046000 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 2006046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353560640).

2006046000 is an abundant number, since it is smaller than the sum of its proper divisors (6701075280).

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

2006046000 is a wasteful number, since it uses less digits than its factorization.

2006046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2006046000 is about 44788.9048760963. The cubic root of 2006046000 is about 1261.1893531698.

The spelling of 2006046000 in words is "two billion, six million, forty-six thousand", and thus it is an eban number.