2006000040 has 128 divisors (see below), whose sum is σ = 6576837120. Its totient is φ = 485433600.

The previous prime is 2006000023. The next prime is 2006000041. The reversal of 2006000040 is 400006002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is not an unprimeable number, because it can be changed into a prime (2006000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037875 + ... + 1039805.

It is an arithmetic number, because the mean of its divisors is an integer number (51381540).

Almost surely, 2^2006000040 is an apocalyptic number.

2006000040 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 2006000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288418560).

2006000040 is an abundant number, since it is smaller than the sum of its proper divisors (4570837080).

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

2006000040 is a wasteful number, since it uses less digits than its factorization.

2006000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2006000040 is about 44788.3917996617. The cubic root of 2006000040 is about 1261.1797215021.

Adding to 2006000040 its reverse (400006002), we get a palindrome (2406006042).

The spelling of 2006000040 in words is "two billion, six million, forty", and thus it is an aban number, an eban number, and an uban number.