2105305460 has 96 divisors (see below), whose sum is σ = 4824610560. Its totient is φ = 769241088.

The previous prime is 2105305459. The next prime is 2105305463. The reversal of 2105305460 is 645035012.

It is a super-2 number, since 2×2105305460² = 8864622159811623200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105305463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293167 + ... + 1294793.

It is an arithmetic number, because the mean of its divisors is an integer number (50256360).

Almost surely, 2^2105305460 is an apocalyptic number.

2105305460 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 2105305460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412305280).

2105305460 is an abundant number, since it is smaller than the sum of its proper divisors (2719305100).

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

2105305460 is a wasteful number, since it uses less digits than its factorization.

With its successor (2105305461) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1783).

With its successor (2105305461) it forms an eRAP, since the sums of their prime factors are consecutive (1785 and 1786).

2105305460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2105305460 is about 45883.6077483016. The cubic root of 2105305460 is about 1281.6566805472.

The spelling of 2105305460 in words is "two billion, one hundred five million, three hundred five thousand, four hundred sixty".