2180229120 has 288 divisors, whose sum is σ = 7753997160. Its totient is φ = 566231040.

The previous prime is 2180229109. The next prime is 2180229131. The reversal of 2180229120 is 219220812.

It is an interprime number because it is at equal distance from previous prime (2180229109) and next prime (2180229131).

It can be written as a sum of positive squares in 4 ways, for example, as 1857954816 + 322274304 = 43104^2 + 17952^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 3778272 + ... + 3778848.

Almost surely, 2^2180229120 is an apocalyptic number.

2180229120 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 2180229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876998580).

2180229120 is an abundant number, since it is smaller than the sum of its proper divisors (5573768040).

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

2180229120 is a wasteful number, since it uses less digits than its factorization.

2180229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2180229120 is about 46692.9236608718. The cubic root of 2180229120 is about 1296.6836813396.

Adding to 2180229120 its reverse (219220812), we get a palindrome (2399449932).

The spelling of 2180229120 in words is "two billion, one hundred eighty million, two hundred twenty-nine thousand, one hundred twenty".