2001416106064 has 80 divisors (see below), whose sum is σ = 4056774099840. Its totient is φ = 954734077440.

The previous prime is 2001416106061. The next prime is 2001416106071. The reversal of 2001416106064 is 4606016141002.

It is a super-2 number, since 2×2001416106064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001416106061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298314742 + ... + 298321450.

It is an arithmetic number, because the mean of its divisors is an integer number (50709676248).

Almost surely, 2^{2001416106064} 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 2001416106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028387049920).

2001416106064 is an abundant number, since it is smaller than the sum of its proper divisors (2055357993776).

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

2001416106064 is a wasteful number, since it uses less digits than its factorization.

2001416106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 2001416106064 in words is "two trillion, one billion, four hundred sixteen million, one hundred six thousand, sixty-four".