2006530416 has 360 divisors, whose sum is σ = 6743608560. Its totient is φ = 556174080.

The previous prime is 2006530411. The next prime is 2006530441. The reversal of 2006530416 is 6140356002.

2006530416 is a `hidden beast` number, since 2 + 0 + 0 + 653 + 0 + 4 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2006530416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006530411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69190690 + ... + 69190718.

It is an arithmetic number, because the mean of its divisors is an integer number (18732246).

Almost surely, 2^2006530416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371804280).

2006530416 is an abundant number, since it is smaller than the sum of its proper divisors (4737078144).

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

2006530416 is a wasteful number, since it uses less digits than its factorization.

2006530416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2006530416 is about 44794.3123175253. The cubic root of 2006530416 is about 1261.2908614988.

Adding to 2006530416 its reverse (6140356002), we get a palindrome (8146886418).

The spelling of 2006530416 in words is "two billion, six million, five hundred thirty thousand, four hundred sixteen".