2102161824 has 144 divisors (see below), whose sum is σ = 7191737280. Its totient is φ = 568995840.

The previous prime is 2102161819. The next prime is 2102161883. The reversal of 2102161824 is 4281612012.

2102161824 is a `hidden beast` number, since 2 + 1 + 0 + 21 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10864 + ... + 65744.

It is an arithmetic number, because the mean of its divisors is an integer number (49942620).

Almost surely, 2^2102161824 is an apocalyptic number.

2102161824 is a gapful number since it is divisible by the number (24) 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 2102161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595868640).

2102161824 is an abundant number, since it is smaller than the sum of its proper divisors (5089575456).

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

2102161824 is a wasteful number, since it uses less digits than its factorization.

2102161824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54923 (or 54912 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2102161824 is about 45849.3383158361. The cubic root of 2102161824 is about 1281.0184407578.

Adding to 2102161824 its reverse (4281612012), we get a palindrome (6383773836).

The spelling of 2102161824 in words is "two billion, one hundred two million, one hundred sixty-one thousand, eight hundred twenty-four".