2105243331040 has 96 divisors (see below), whose sum is σ = 5049756794880. Its totient is φ = 829265109504.

The previous prime is 2105243330941. The next prime is 2105243331047. The reversal of 2105243331040 is 401333425012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105243331047) 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, 4623687 + ... + 5058553.

It is an arithmetic number, because the mean of its divisors is an integer number (52601633280).

Almost surely, 2^{2105243331040} is an apocalyptic number.

2105243331040 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 2105243331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524878397440).

2105243331040 is an abundant number, since it is smaller than the sum of its proper divisors (2944513463840).

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

2105243331040 is a wasteful number, since it uses less digits than its factorization.

2105243331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435344 (or 435336 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 2105243331040 its reverse (401333425012), we get a palindrome (2506576756052).

The spelling of 2105243331040 in words is "two trillion, one hundred five billion, two hundred forty-three million, three hundred thirty-one thousand, forty".