2006000640 has 440 divisors, whose sum is σ = 8227171392. Its totient is φ = 457850880.

The previous prime is 2006000597. The next prime is 2006000681. The reversal of 2006000640 is 460006002.

2006000640 is a `hidden beast` number, since 2 + 0 + 0 + 600 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902695 + ... + 2903385.

Almost surely, 2^2006000640 is an apocalyptic number.

2006000640 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 2006000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113585696).

2006000640 is an abundant number, since it is smaller than the sum of its proper divisors (6221170752).

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

2006000640 is an equidigital number, since it uses as much as digits as its factorization.

2006000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2006000640 is about 44788.3984978253. The cubic root of 2006000640 is about 1261.1798472428.

Adding to 2006000640 its reverse (460006002), we get a palindrome (2466006642).

The spelling of 2006000640 in words is "two billion, six million, six hundred forty", and thus it is an aban number.