2663220168 has 192 divisors, whose sum is σ = 8884339200. Its totient is φ = 736283520.

The previous prime is 2663220107. The next prime is 2663220169. The reversal of 2663220168 is 8610223662.

2663220168 is a `hidden beast` number, since 2 + 6 + 632 + 2 + 0 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663220169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324046 + ... + 332162.

It is an arithmetic number, because the mean of its divisors is an integer number (46272600).

Almost surely, 2^2663220168 is an apocalyptic number.

2663220168 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 2663220168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442169600).

2663220168 is an abundant number, since it is smaller than the sum of its proper divisors (6221119032).

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

2663220168 is a wasteful number, since it uses less digits than its factorization.

2663220168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2663220168 is about 51606.3965802690. The cubic root of 2663220168 is about 1386.1248739647.

The spelling of 2663220168 in words is "two billion, six hundred sixty-three million, two hundred twenty thousand, one hundred sixty-eight".