2006040640 has 56 divisors (see below), whose sum is σ = 4809058200. Its totient is φ = 797011968.

The previous prime is 2006040583. The next prime is 2006040671. The reversal of 2006040640 is 460406002.

It can be written as a sum of positive squares in 4 ways, for example, as 81288256 + 1924752384 = 9016^2 + 43872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26644 + ... + 68716.

Almost surely, 2^2006040640 is an apocalyptic number.

2006040640 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 2006040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404529100).

2006040640 is an abundant number, since it is smaller than the sum of its proper divisors (2803017560).

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

2006040640 is a wasteful number, since it uses less digits than its factorization.

2006040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42239 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2006040640 is about 44788.8450398087. The cubic root of 2006040640 is about 1261.1882299020.

Adding to 2006040640 its reverse (460406002), we get a palindrome (2466446642).

The spelling of 2006040640 in words is "two billion, six million, forty thousand, six hundred forty".