2105041312 has 96 divisors (see below), whose sum is σ = 4776408000. Its totient is φ = 903168000.

The previous prime is 2105041291. The next prime is 2105041319. The reversal of 2105041312 is 2131405012.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2105041312.

It is not an unprimeable number, because it can be changed into a prime (2105041319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3002562 + ... + 3003262.

It is an arithmetic number, because the mean of its divisors is an integer number (49754250).

Almost surely, 2^2105041312 is an apocalyptic number.

2105041312 is a gapful number since it is divisible by the number (22) 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 2105041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388204000).

2105041312 is an abundant number, since it is smaller than the sum of its proper divisors (2671366688).

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

2105041312 is a wasteful number, since it uses less digits than its factorization.

2105041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2105041312 is about 45880.7292008311. The cubic root of 2105041312 is about 1281.6030760996.

Adding to 2105041312 its reverse (2131405012), we get a palindrome (4236446324).

The spelling of 2105041312 in words is "two billion, one hundred five million, forty-one thousand, three hundred twelve".