2120541120 has 280 divisors, whose sum is σ = 7873313184. Its totient is φ = 540739584.

The previous prime is 2120541083. The next prime is 2120541133. The reversal of 2120541120 is 211450212.

2120541120 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 541 + 120 = 666.

It is a super-2 number, since 2×2120541120² = 8993389283221708800, which contains 22 as substring.

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 = 2120541093 and 2120541102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 594382 + ... + 597938.

Almost surely, 2^2120541120 is an apocalyptic number.

2120541120 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 2120541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936656592).

2120541120 is an abundant number, since it is smaller than the sum of its proper divisors (5752772064).

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

2120541120 is a wasteful number, since it uses less digits than its factorization.

2120541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2120541120 is about 46049.3335456660. Note that the first 3 decimals coincide. The cubic root of 2120541120 is about 1284.7409471381.

Adding to 2120541120 its reverse (211450212), we get a palindrome (2331991332).

The spelling of 2120541120 in words is "two billion, one hundred twenty million, five hundred forty-one thousand, one hundred twenty".