2200209120 has 576 divisors, whose sum is σ = 8491392000. Its totient is φ = 516354048.

The previous prime is 2200209119. The next prime is 2200209157. The reversal of 2200209120 is 219020022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200209093 and 2200209102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 37291651 + ... + 37291709.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^2200209120 is an apocalyptic number.

2200209120 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 2200209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2200209120 is an abundant number, since it is smaller than the sum of its proper divisors (6291182880).

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

2200209120 is a wasteful number, since it uses less digits than its factorization.

2200209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2200209120 is about 46906.3867719525. The cubic root of 2200209120 is about 1300.6326545887.

Adding to 2200209120 its reverse (219020022), we get a palindrome (2419229142).

The spelling of 2200209120 in words is "two billion, two hundred million, two hundred nine thousand, one hundred twenty".