2058090120 has 160 divisors (see below), whose sum is σ = 7086645720. Its totient is φ = 535403520.

The previous prime is 2058090119. The next prime is 2058090137. The reversal of 2058090120 is 210908502.

It can be written as a sum of positive squares in 4 ways, for example, as 545035716 + 1513054404 = 23346^2 + 38898^2 .

It is a super-2 number, since 2×2058090120² = 8471469884083228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 125094 + ... + 140586.

Almost surely, 2^2058090120 is an apocalyptic number.

2058090120 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 2058090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543322860).

2058090120 is an abundant number, since it is smaller than the sum of its proper divisors (5028555600).

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

2058090120 is a wasteful number, since it uses less digits than its factorization.

2058090120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15557 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2058090120 is about 45366.1781506884. The cubic root of 2058090120 is about 1272.0029814811.

Adding to 2058090120 its reverse (210908502), we get a palindrome (2268998622).

The spelling of 2058090120 in words is "two billion, fifty-eight million, ninety thousand, one hundred twenty".