2006272632 has 128 divisors (see below), whose sum is σ = 6372495360. Its totient is φ = 512040960.

The previous prime is 2006272627. The next prime is 2006272637. The reversal of 2006272632 is 2362726002.

It is an interprime number because it is at equal distance from previous prime (2006272627) and next prime (2006272637).

It is a self number, because there is not a number n which added to its sum of digits gives 2006272632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006272637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52888 + ... + 82520.

It is an arithmetic number, because the mean of its divisors is an integer number (49785120).

Almost surely, 2^2006272632 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 2006272632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186247680).

2006272632 is an abundant number, since it is smaller than the sum of its proper divisors (4366222728).

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

2006272632 is a wasteful number, since it uses less digits than its factorization.

2006272632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29693 (or 29689 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2006272632 is about 44791.4348062216. The cubic root of 2006272632 is about 1261.2368454511.

Adding to 2006272632 its reverse (2362726002), we get a palindrome (4368998634).

The spelling of 2006272632 in words is "two billion, six million, two hundred seventy-two thousand, six hundred thirty-two".