2006467715826 has 96 divisors (see below), whose sum is σ = 4986706128768. Its totient is φ = 571164894720.

The previous prime is 2006467715821. The next prime is 2006467715839. The reversal of 2006467715826 is 6285177646002.

It is a happy number.

2006467715826 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 467 + 7 + 158 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (2006467715821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266211930 + ... + 266219466.

It is an arithmetic number, because the mean of its divisors is an integer number (51944855508).

Almost surely, 2^{2006467715826} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006467715826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493353064384).

2006467715826 is an abundant number, since it is smaller than the sum of its proper divisors (2980238412942).

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

2006467715826 is a wasteful number, since it uses less digits than its factorization.

2006467715826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15056 (or 15053 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2006467715826 in words is "two trillion, six billion, four hundred sixty-seven million, seven hundred fifteen thousand, eight hundred twenty-six".