2006528166 has 64 divisors (see below), whose sum is σ = 4574154240. Its totient is φ = 651736800.

The previous prime is 2006528143. The next prime is 2006528177. The reversal of 2006528166 is 6618256002.

It is a self number, because there is not a number n which added to its sum of digits gives 2006528166.

It is a congruent number.

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, 429841 + ... + 434483.

It is an arithmetic number, because the mean of its divisors is an integer number (71471160).

Almost surely, 2^2006528166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006528166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287077120).

2006528166 is an abundant number, since it is smaller than the sum of its proper divisors (2567626074).

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

2006528166 is a wasteful number, since it uses less digits than its factorization.

2006528166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2006528166 is about 44794.2872027226. The cubic root of 2006528166 is about 1261.2903900539.

The spelling of 2006528166 in words is "two billion, six million, five hundred twenty-eight thousand, one hundred sixty-six".