2109900800 has 324 divisors, whose sum is σ = 6302438415. Its totient is φ = 698449920.

The previous prime is 2109900773. The next prime is 2109900811. The reversal of 2109900800 is 80099012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 809288704 + 1300612096 = 28448^2 + 36064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32480.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72755186 + ... + 72755214.

Almost surely, 2^2109900800 is an apocalyptic number.

2109900800 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 2109900800

2109900800 is an abundant number, since it is smaller than the sum of its proper divisors (4192537615).

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

2109900800 is an equidigital number, since it uses as much as digits as its factorization.

2109900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 2109900800 is about 45933.6565058781. The cubic root of 2109900800 is about 1282.5885117891.

Adding to 2109900800 its reverse (80099012), we get a palindrome (2189999812).

The spelling of 2109900800 in words is "two billion, one hundred nine million, nine hundred thousand, eight hundred".