2668294828032 has 208 divisors, whose sum is σ = 7538219500032. Its totient is φ = 836542136320.

The previous prime is 2668294828013. The next prime is 2668294828033. The reversal of 2668294828032 is 2308284928662.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668294828033) 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, 390841003 + ... + 390847829.

It is an arithmetic number, because the mean of its divisors is an integer number (36241439904).

Almost surely, 2^{2668294828032} 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 2668294828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769109750016).

2668294828032 is an abundant number, since it is smaller than the sum of its proper divisors (4869924672000).

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

2668294828032 is a wasteful number, since it uses less digits than its factorization.

2668294828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 2668294828032 in words is "two trillion, six hundred sixty-eight billion, two hundred ninety-four million, eight hundred twenty-eight thousand, thirty-two".