2006526745216 has 128 divisors (see below), whose sum is σ = 4610456271360. Its totient is φ = 852061731840.

The previous prime is 2006526745211. The next prime is 2006526745217. The reversal of 2006526745216 is 6125476256002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2006526745216² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006526745211) 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 15 ways as a sum of consecutive naturals, for example, 48321135 + ... + 48362641.

It is an arithmetic number, because the mean of its divisors is an integer number (36019189620).

Almost surely, 2^{2006526745216} 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 2006526745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305228135680).

2006526745216 is an abundant number, since it is smaller than the sum of its proper divisors (2603929526144).

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

2006526745216 is a wasteful number, since it uses less digits than its factorization.

2006526745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022 (or 42010 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 2006526745216 in words is "two trillion, six billion, five hundred twenty-six million, seven hundred forty-five thousand, two hundred sixteen".