2006082640 has 20 divisors (see below), whose sum is σ = 4664142324. Its totient is φ = 802433024.

The previous prime is 2006082601. The next prime is 2006082647. The reversal of 2006082640 is 462806002.

It can be written as a sum of positive squares in 2 ways, for example, as 675584064 + 1330498576 = 25992^2 + 36476^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2006082599 and 2006082608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006082647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12537937 + ... + 12538096.

Almost surely, 2^2006082640 is an apocalyptic number.

2006082640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006082640 is an abundant number, since it is smaller than the sum of its proper divisors (2658059684).

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

2006082640 is a wasteful number, since it uses less digits than its factorization.

2006082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25076046 (or 25076040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2006082640 is about 44789.3139040999. The cubic root of 2006082640 is about 1261.1970315741.

Adding to 2006082640 its reverse (462806002), we get a palindrome (2468888642).

The spelling of 2006082640 in words is "two billion, six million, eighty-two thousand, six hundred forty".