2006210528 has 144 divisors (see below), whose sum is σ = 4936274784. Its totient is φ = 797368320.

The previous prime is 2006210501. The next prime is 2006210587. The reversal of 2006210528 is 8250126002.

It is a junction number, because it is equal to n+sod(n) for n = 2006210497 and 2006210506.

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 23 ways as a sum of consecutive naturals, for example, 1945373 + ... + 1946403.

It is an arithmetic number, because the mean of its divisors is an integer number (34279686).

Almost surely, 2^2006210528 is an apocalyptic number.

2006210528 is a gapful number since it is divisible by the number (28) 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 2006210528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468137392).

2006210528 is an abundant number, since it is smaller than the sum of its proper divisors (2930064256).

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

2006210528 is a wasteful number, since it uses less digits than its factorization.

2006210528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2006210528 is about 44790.7415433145. The cubic root of 2006210528 is about 1261.2238314901.

The spelling of 2006210528 in words is "two billion, six million, two hundred ten thousand, five hundred twenty-eight".