2668071168 has 162 divisors, whose sum is σ = 8949037734. Its totient is φ = 762273792.

The previous prime is 2668071163. The next prime is 2668071173. The reversal of 2668071168 is 8611708662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2668071163) and next prime (2668071173).

It can be written as a sum of positive squares in only one way, i.e., 2608349184 + 59721984 = 51072^2 + 7728^2 .

It is not an unprimeable number, because it can be changed into a prime (2668071163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101080 + ... + 124712.

Almost surely, 2^2668071168 is an apocalyptic number.

2668071168 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 2668071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474518867).

2668071168 is an abundant number, since it is smaller than the sum of its proper divisors (6280966566).

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

2668071168 is a wasteful number, since it uses less digits than its factorization.

2668071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23669 (or 23645 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2668071168 is about 51653.3751849770. The cubic root of 2668071168 is about 1386.9659626804.

The spelling of 2668071168 in words is "two billion, six hundred sixty-eight million, seventy-one thousand, one hundred sixty-eight".