2105241760 has 96 divisors (see below), whose sum is σ = 5179449744. Its totient is φ = 807936000.

The previous prime is 2105241703. The next prime is 2105241793. The reversal of 2105241760 is 671425012.

It can be written as a sum of positive squares in 8 ways, for example, as 137077264 + 1968164496 = 11708^2 + 44364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397530 + ... + 402790.

Almost surely, 2^2105241760 is an apocalyptic number.

2105241760 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 2105241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589724872).

2105241760 is an abundant number, since it is smaller than the sum of its proper divisors (3074207984).

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

2105241760 is a wasteful number, since it uses less digits than its factorization.

2105241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2105241760 is about 45882.9135953679. The cubic root of 2105241760 is about 1281.6437541009.

Adding to 2105241760 its reverse (671425012), we get a palindrome (2776666772).

The spelling of 2105241760 in words is "two billion, one hundred five million, two hundred forty-one thousand, seven hundred sixty".