2235105200 has 60 divisors (see below), whose sum is σ = 5377256280. Its totient is φ = 892807680.

The previous prime is 2235105181. The next prime is 2235105203. The reversal of 2235105200 is 25015322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2235105203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 320147 + ... + 327053.

It is an arithmetic number, because the mean of its divisors is an integer number (89620938).

Almost surely, 2^2235105200 is an apocalyptic number.

2235105200 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 2235105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688628140).

2235105200 is an abundant number, since it is smaller than the sum of its proper divisors (3142151080).

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

2235105200 is a wasteful number, since it uses less digits than its factorization.

2235105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2235105200 is about 47276.8992215014. The cubic root of 2235105200 is about 1307.4727805035.

The spelling of 2235105200 in words is "two billion, two hundred thirty-five million, one hundred five thousand, two hundred".