2668211784 has 192 divisors, whose sum is σ = 8852163840. Its totient is φ = 709378560.

The previous prime is 2668211773. The next prime is 2668211801. The reversal of 2668211784 is 4871128662.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 425794 + ... + 432014.

It is an arithmetic number, because the mean of its divisors is an integer number (46105020).

Almost surely, 2^2668211784 is an apocalyptic number.

2668211784 is a gapful number since it is divisible by the number (24) 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 2668211784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426081920).

2668211784 is an abundant number, since it is smaller than the sum of its proper divisors (6183952056).

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

2668211784 is a wasteful number, since it uses less digits than its factorization.

2668211784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6293 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2668211784 is about 51654.7363172052. The cubic root of 2668211784 is about 1386.9903281199.

The spelling of 2668211784 in words is "two billion, six hundred sixty-eight million, two hundred eleven thousand, seven hundred eighty-four".