2185843968 has 540 divisors, whose sum is σ = 8351636832. Its totient is φ = 552407040.

The previous prime is 2185843963. The next prime is 2185843981. The reversal of 2185843968 is 8693485812.

2185843968 is a `hidden beast` number, since 21 + 8 + 584 + 39 + 6 + 8 = 666.

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

Its product of digits (3317760) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185843963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59076846 + ... + 59076882.

Almost surely, 2^2185843968 is an apocalyptic number.

2185843968 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 2185843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175818416).

2185843968 is an abundant number, since it is smaller than the sum of its proper divisors (6165792864).

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

2185843968 is an equidigital number, since it uses as much as digits as its factorization.

2185843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 2185843968 is about 46753.0102560252. The cubic root of 2185843968 is about 1297.7958642351.

The spelling of 2185843968 in words is "two billion, one hundred eighty-five million, eight hundred forty-three thousand, nine hundred sixty-eight".