2668303918260 has 288 divisors, whose sum is σ = 8520655852800. Its totient is φ = 674908416000.

The previous prime is 2668303918183. The next prime is 2668303918261. The reversal of 2668303918260 is 628193038662.

2668303918260 is a `hidden beast` number, since 2 + 6 + 68 + 303 + 9 + 18 + 260 = 666.

It is a super-2 number, since 2×2668303918260² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2668303918197 and 2668303918206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668303918261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889136760 + ... + 889139760.

It is an arithmetic number, because the mean of its divisors is an integer number (29585610600).

Almost surely, 2^{2668303918260} is an apocalyptic number.

2668303918260 is a gapful number since it is divisible by the number (20) 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 2668303918260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260327926400).

2668303918260 is an abundant number, since it is smaller than the sum of its proper divisors (5852351934540).

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

2668303918260 is a wasteful number, since it uses less digits than its factorization.

2668303918260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2668303918260 in words is "two trillion, six hundred sixty-eight billion, three hundred three million, nine hundred eighteen thousand, two hundred sixty".