2105868240 has 640 divisors, whose sum is σ = 8799436800. Its totient is φ = 452874240.

The previous prime is 2105868203. The next prime is 2105868313. The reversal of 2105868240 is 428685012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2105868195 and 2105868204.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 26656521 + ... + 26656599.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^2105868240 is an apocalyptic number.

2105868240 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 2105868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2105868240 is an abundant number, since it is smaller than the sum of its proper divisors (6693568560).

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

2105868240 is a wasteful number, since it uses less digits than its factorization.

2105868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2105868240 is about 45889.7400297714. The cubic root of 2105868240 is about 1281.7708724463.

It can be divided in two parts, 21058 and 68240, that added together give a palindrome (89298).

The spelling of 2105868240 in words is "two billion, one hundred five million, eight hundred sixty-eight thousand, two hundred forty".