2105722000 has 80 divisors (see below), whose sum is σ = 5391230832. Its totient is φ = 792729600.

The previous prime is 2105721991. The next prime is 2105722057. The reversal of 2105722000 is 2275012.

It can be written as a sum of positive squares in 8 ways, for example, as 461906064 + 1643815936 = 21492^2 + 40544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034 + ... + 64966.

Almost surely, 2^2105722000 is an apocalyptic number.

2105722000 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 2105722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695615416).

2105722000 is an abundant number, since it is smaller than the sum of its proper divisors (3285508832).

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

2105722000 is a wasteful number, since it uses less digits than its factorization.

2105722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61973 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2105722000 is about 45888.1466176179. The cubic root of 2105722000 is about 1281.7412013098.

Adding to 2105722000 its reverse (2275012), we get a palindrome (2107997012).

The spelling of 2105722000 in words is "two billion, one hundred five million, seven hundred twenty-two thousand".