2006608032 has 384 divisors, whose sum is σ = 6985440000. Its totient is φ = 552407040.

The previous prime is 2006607997. The next prime is 2006608061. The reversal of 2006608032 is 2308066002.

2006608032 is a `hidden beast` number, since 20 + 0 + 6 + 608 + 0 + 32 = 666.

It is a super-3 number, since 3×2006608032³ (a number of 29 digits) contains 333 as substring.

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 = 2006607987 and 2006608005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13467094 + ... + 13467242.

It is an arithmetic number, because the mean of its divisors is an integer number (18191250).

Almost surely, 2^2006608032 is an apocalyptic number.

2006608032 is a gapful number since it is divisible by the number (22) 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 2006608032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

2006608032 is an abundant number, since it is smaller than the sum of its proper divisors (4978831968).

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

2006608032 is a wasteful number, since it uses less digits than its factorization.

2006608032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2006608032 is about 44795.1786691380. The cubic root of 2006608032 is about 1261.3071242458.

The spelling of 2006608032 in words is "two billion, six million, six hundred eight thousand, thirty-two".