2067005368008 has 192 divisors, whose sum is σ = 6421861180800. Its totient is φ = 588360913920.

The previous prime is 2067005367991. The next prime is 2067005368031. The reversal of 2067005368008 is 8008635007602.

It is a super-2 number, since 2×2067005368008² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564908083 + ... + 564911741.

It is an arithmetic number, because the mean of its divisors is an integer number (33447193650).

Almost surely, 2^{2067005368008} is an apocalyptic number.

2067005368008 is a gapful number since it is divisible by the number (28) 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 2067005368008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210930590400).

2067005368008 is an abundant number, since it is smaller than the sum of its proper divisors (4354855812792).

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

2067005368008 is a wasteful number, since it uses less digits than its factorization.

2067005368008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2067005368008 in words is "two trillion, sixty-seven billion, five million, three hundred sixty-eight thousand, eight".