2030541120 has 168 divisors, whose sum is σ = 7012853640. Its totient is φ = 539258880.

The previous prime is 2030541091. The next prime is 2030541173. The reversal of 2030541120 is 211450302.

2030541120 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 541 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109998144 + 1920542976 = 10488^2 + 43824^2 .

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 = 2030541093 and 2030541102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773410 + ... + 776030.

Almost surely, 2^2030541120 is an apocalyptic number.

2030541120 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 2030541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506426820).

2030541120 is an abundant number, since it is smaller than the sum of its proper divisors (4982312520).

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

2030541120 is a wasteful number, since it uses less digits than its factorization.

2030541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2030541120 is about 45061.5259395418. The cubic root of 2030541120 is about 1266.3019128259.

Adding to 2030541120 its reverse (211450302), we get a palindrome (2241991422).

It can be divided in two parts, 20305 and 41120, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 2030541120 in words is "two billion, thirty million, five hundred forty-one thousand, one hundred twenty".