2006087040 has 256 divisors, whose sum is σ = 7523928000. Its totient is φ = 503414784.

The previous prime is 2006087029. The next prime is 2006087087. The reversal of 2006087040 is 407806002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2006086995 and 2006087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290346 + ... + 297174.

Almost surely, 2^2006087040 is an apocalyptic number.

2006087040 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 2006087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761964000).

2006087040 is an abundant number, since it is smaller than the sum of its proper divisors (5517840960).

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

2006087040 is a wasteful number, since it uses less digits than its factorization.

2006087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6856 counting only the distinct ones).

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

The square root of 2006087040 is about 44789.3630229321. The cubic root of 2006087040 is about 1261.1979536469.

The spelling of 2006087040 in words is "two billion, six million, eighty-seven thousand, forty".