2105611200 has 840 divisors, whose sum is σ = 9695224704. Its totient is φ = 435456000.

The previous prime is 2105611187. The next prime is 2105611201. The reversal of 2105611200 is 21165012.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105611201) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 9979095 + ... + 9979305.

Almost surely, 2^2105611200 is an apocalyptic number.

2105611200 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 2105611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847612352).

2105611200 is an abundant number, since it is smaller than the sum of its proper divisors (7589613504).

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

2105611200 is a wasteful number, since it uses less digits than its factorization.

2105611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2105611200 is about 45886.9393182853. The cubic root of 2105611200 is about 1281.7187198021.

Adding to 2105611200 its reverse (21165012), we get a palindrome (2126776212).

The spelling of 2105611200 in words is "two billion, one hundred five million, six hundred eleven thousand, two hundred".