2006807040 has 480 divisors, whose sum is σ = 8303682816. Its totient is φ = 437944320.

The previous prime is 2006807039. The next prime is 2006807051. The reversal of 2006807040 is 407086002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2006806995 and 2006807013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709170 + ... + 3709710.

Almost surely, 2^2006807040 is an apocalyptic number.

2006807040 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 2006807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151841408).

2006807040 is an abundant number, since it is smaller than the sum of its proper divisors (6296875776).

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

2006807040 is a wasteful number, since it uses less digits than its factorization.

2006807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2006807040 is about 44797.3999245492. The cubic root of 2006807040 is about 1261.3488201336.

The spelling of 2006807040 in words is "two billion, six million, eight hundred seven thousand, forty".