2105321040 has 120 divisors (see below), whose sum is σ = 7114142880. Its totient is φ = 557943552.

The previous prime is 2105321017. The next prime is 2105321083. The reversal of 2105321040 is 401235012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 108391 + ... + 126329.

It is an arithmetic number, because the mean of its divisors is an integer number (59284524).

Almost surely, 2^2105321040 is an apocalyptic number.

2105321040 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 2105321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557071440).

2105321040 is an abundant number, since it is smaller than the sum of its proper divisors (5008821840).

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

2105321040 is a wasteful number, since it uses less digits than its factorization.

2105321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2105321040 is about 45883.7775253956. Note that the first 3 decimals coincide. The cubic root of 2105321040 is about 1281.6598421093.

Adding to 2105321040 its reverse (401235012), we get a palindrome (2506556052).

The spelling of 2105321040 in words is "two billion, one hundred five million, three hundred twenty-one thousand, forty".