2057120120 has 128 divisors (see below), whose sum is σ = 5368896000. Its totient is φ = 701498880.

The previous prime is 2057120099. The next prime is 2057120159. The reversal of 2057120120 is 210217502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2057120092 and 2057120101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859886 + ... + 862274.

It is an arithmetic number, because the mean of its divisors is an integer number (41944500).

Almost surely, 2^2057120120 is an apocalyptic number.

2057120120 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 2057120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684448000).

2057120120 is an abundant number, since it is smaller than the sum of its proper divisors (3311775880).

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

2057120120 is a wasteful number, since it uses less digits than its factorization.

2057120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2057120120 is about 45355.4861069750. The cubic root of 2057120120 is about 1271.8031138511.

Adding to 2057120120 its reverse (210217502), we get a palindrome (2267337622).

The spelling of 2057120120 in words is "two billion, fifty-seven million, one hundred twenty thousand, one hundred twenty".