2180445120 has 252 divisors, whose sum is σ = 8724848184. Its totient is φ = 498355200.

The previous prime is 2180445077. The next prime is 2180445121. The reversal of 2180445120 is 215440812.

2180445120 is a `hidden beast` number, since 21 + 80 + 445 + 120 = 666.

2180445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180445121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133395 + ... + 148845.

Almost surely, 2^2180445120 is an apocalyptic number.

2180445120 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 2180445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362424092).

2180445120 is an abundant number, since it is smaller than the sum of its proper divisors (6544403064).

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

2180445120 is a wasteful number, since it uses less digits than its factorization.

2180445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15488 (or 15468 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2180445120 is about 46695.2365879005. The cubic root of 2180445120 is about 1296.7265016750.

Adding to 2180445120 its reverse (215440812), we get a palindrome (2395885932).

The spelling of 2180445120 in words is "two billion, one hundred eighty million, four hundred forty-five thousand, one hundred twenty".