2006705232 has 240 divisors, whose sum is σ = 6846347520. Its totient is φ = 560867328.

The previous prime is 2006705213. The next prime is 2006705243. The reversal of 2006705232 is 2325076002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2006705196 and 2006705205.

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 47 ways as a sum of consecutive naturals, for example, 993888 + ... + 995904.

It is an arithmetic number, because the mean of its divisors is an integer number (28526448).

Almost surely, 2^2006705232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006705232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423173760).

2006705232 is an abundant number, since it is smaller than the sum of its proper divisors (4839642288).

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

2006705232 is a wasteful number, since it uses less digits than its factorization.

2006705232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2006705232 is about 44796.2635941883. The cubic root of 2006705232 is about 1261.3274898031.

The spelling of 2006705232 in words is "two billion, six million, seven hundred five thousand, two hundred thirty-two".