2006667000 has 256 divisors, whose sum is σ = 7492867200. Its totient is φ = 493862400.

The previous prime is 2006666989. The next prime is 2006667053. The reversal of 2006667000 is 7666002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348142 + ... + 353858.

Almost surely, 2^2006667000 is an apocalyptic number.

2006667000 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 2006667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746433600).

2006667000 is an abundant number, since it is smaller than the sum of its proper divisors (5486200200).

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

2006667000 is a wasteful number, since it uses less digits than its factorization.

2006667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2006667000 is about 44795.8368601369. The cubic root of 2006667000 is about 1261.3194794290.

The spelling of 2006667000 in words is "two billion, six million, six hundred sixty-seven thousand".