2105721632 has 48 divisors (see below), whose sum is σ = 4764432960. Its totient is φ = 897393408.

The previous prime is 2105721619. The next prime is 2105721637. The reversal of 2105721632 is 2361275012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2105721595 and 2105721604.

It is not an unprimeable number, because it can be changed into a prime (2105721637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13838 + ... + 66354.

It is an arithmetic number, because the mean of its divisors is an integer number (99259020).

Almost surely, 2^2105721632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105721632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382216480).

2105721632 is an abundant number, since it is smaller than the sum of its proper divisors (2658711328).

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

2105721632 is a wasteful number, since it uses less digits than its factorization.

2105721632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52713 (or 52705 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2105721632 is about 45888.1426078677. The cubic root of 2105721632 is about 1281.7411266433.

Adding to 2105721632 its reverse (2361275012), we get a palindrome (4466996644).

The spelling of 2105721632 in words is "two billion, one hundred five million, seven hundred twenty-one thousand, six hundred thirty-two".