2006104320 has 360 divisors, whose sum is σ = 7835224320. Its totient is φ = 486051840.

The previous prime is 2006104301. The next prime is 2006104351. The reversal of 2006104320 is 234016002.

It is a happy number.

2006104320 is a `hidden beast` number, since 20 + 0 + 610 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2006104293 and 2006104302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139601 + ... + 1141359.

It is an arithmetic number, because the mean of its divisors is an integer number (21764512).

Almost surely, 2^2006104320 is an apocalyptic number.

2006104320 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 2006104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917612160).

2006104320 is an abundant number, since it is smaller than the sum of its proper divisors (5829120000).

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

2006104320 is a wasteful number, since it uses less digits than its factorization.

2006104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2006104320 is about 44789.5559254610. Note that the first 3 decimals coincide. The cubic root of 2006104320 is about 1261.2015748653.

The spelling of 2006104320 in words is "two billion, six million, one hundred four thousand, three hundred twenty".