2006532640 has 96 divisors (see below), whose sum is σ = 5439498624. Its totient is φ = 685178880.

The previous prime is 2006532637. The next prime is 2006532641. The reversal of 2006532640 is 462356002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2006532599 and 2006532608.

It is not an unprimeable number, because it can be changed into a prime (2006532641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284355 + ... + 291325.

It is an arithmetic number, because the mean of its divisors is an integer number (56661444).

Almost surely, 2^2006532640 is an apocalyptic number.

2006532640 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 2006532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719749312).

2006532640 is an abundant number, since it is smaller than the sum of its proper divisors (3432965984).

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

2006532640 is a wasteful number, since it uses less digits than its factorization.

2006532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2006532640 is about 44794.3371420987. The cubic root of 2006532640 is about 1261.2913274955.

Adding to 2006532640 its reverse (462356002), we get a palindrome (2468888642).

The spelling of 2006532640 in words is "two billion, six million, five hundred thirty-two thousand, six hundred forty".