2891324160 has 360 divisors, whose sum is σ = 10506323520. Its totient is φ = 759103488.

The previous prime is 2891324131. The next prime is 2891324243. The reversal of 2891324160 is 614231982.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190544 + ... + 8190896.

It is an arithmetic number, because the mean of its divisors is an integer number (29184232).

Almost surely, 2^2891324160 is an apocalyptic number.

2891324160 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 2891324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253161760).

2891324160 is an abundant number, since it is smaller than the sum of its proper divisors (7614999360).

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

2891324160 is an equidigital number, since it uses as much as digits as its factorization.

2891324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2891324160 is about 53771.0345818267. The cubic root of 2891324160 is about 1424.6196436379.

The spelling of 2891324160 in words is "two billion, eight hundred ninety-one million, three hundred twenty-four thousand, one hundred sixty".