2891667168 has 192 divisors, whose sum is σ = 9176328000. Its totient is φ = 880588800.

The previous prime is 2891667161. The next prime is 2891667187. The reversal of 2891667168 is 8617661982.

2891667168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891667161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133158 + ... + 1135706.

It is an arithmetic number, because the mean of its divisors is an integer number (47793375).

Almost surely, 2^2891667168 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 2891667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588164000).

2891667168 is an abundant number, since it is smaller than the sum of its proper divisors (6284660832).

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

2891667168 is a wasteful number, since it uses less digits than its factorization.

2891667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2668 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2891667168 is about 53774.2240111375. The cubic root of 2891667168 is about 1424.6759772974.

The spelling of 2891667168 in words is "two billion, eight hundred ninety-one million, six hundred sixty-seven thousand, one hundred sixty-eight".