2105953024 has 72 divisors (see below), whose sum is σ = 4862430720. Its totient is φ = 891614208.

The previous prime is 2105952997. The next prime is 2105953033. The reversal of 2105953024 is 4203595012.

It is an unprimeable number.

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, 141657 + ... + 155815.

It is an arithmetic number, because the mean of its divisors is an integer number (67533760).

Almost surely, 2^2105953024 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 2105953024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431215360).

2105953024 is an abundant number, since it is smaller than the sum of its proper divisors (2756477696).

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

2105953024 is an equidigital number, since it uses as much as digits as its factorization.

2105953024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14265 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2105953024 is about 45890.6637999495. The cubic root of 2105953024 is about 1281.7880739345.

The spelling of 2105953024 in words is "two billion, one hundred five million, nine hundred fifty-three thousand, twenty-four".