2089156160 has 336 divisors, whose sum is σ = 6423714864. Its totient is φ = 640991232.

The previous prime is 2089156159. The next prime is 2089156169. The reversal of 2089156160 is 616519802.

It can be written as a sum of positive squares in 8 ways, for example, as 97140736 + 1992015424 = 9856^2 + 44632^2 .

It is not an unprimeable number, because it can be changed into a prime (2089156169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7541942 + ... + 7542218.

It is an arithmetic number, because the mean of its divisors is an integer number (19118199).

Almost surely, 2^2089156160 is an apocalyptic number.

2089156160 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 2089156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211857432).

2089156160 is an abundant number, since it is smaller than the sum of its proper divisors (4334558704).

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

2089156160 is a wasteful number, since it uses less digits than its factorization.

2089156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2089156160 is about 45707.2878215280. The cubic root of 2089156160 is about 1278.3711703432.

The spelling of 2089156160 in words is "two billion, eighty-nine million, one hundred fifty-six thousand, one hundred sixty".