2008607040 has 672 divisors, whose sum is σ = 8216432640. Its totient is φ = 445132800.

The previous prime is 2008607039. The next prime is 2008607057. The reversal of 2008607040 is 407068002.

2008607040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2008607040³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2008606995 and 2008607013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28290205 + ... + 28290275.

Almost surely, 2^2008607040 is an apocalyptic number.

2008607040 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 2008607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108216320).

2008607040 is an abundant number, since it is smaller than the sum of its proper divisors (6207825600).

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

2008607040 is a wasteful number, since it uses less digits than its factorization.

2008607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

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

The square root of 2008607040 is about 44817.4858732616. The cubic root of 2008607040 is about 1261.7258285440.

The spelling of 2008607040 in words is "two billion, eight million, six hundred seven thousand, forty".