2185882160 has 240 divisors, whose sum is σ = 6509797632. Its totient is φ = 674956800.

The previous prime is 2185882109. The next prime is 2185882177. The reversal of 2185882160 is 612885812.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7028405 + ... + 7028715.

Almost surely, 2^2185882160 is an apocalyptic number.

2185882160 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 2185882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254898816).

2185882160 is an abundant number, since it is smaller than the sum of its proper divisors (4323915472).

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

2185882160 is a wasteful number, since it uses less digits than its factorization.

2185882160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 2185882160 is about 46753.4186985294. The cubic root of 2185882160 is about 1297.8034227390.

The spelling of 2185882160 in words is "two billion, one hundred eighty-five million, eight hundred eighty-two thousand, one hundred sixty".