2011085128 has 24 divisors (see below), whose sum is σ = 4083160050. Its totient is φ = 928192512.

The previous prime is 2011085119. The next prime is 2011085143. The reversal of 2011085128 is 8215801102.

It can be written as a sum of positive squares in 3 ways, for example, as 1620706564 + 390378564 = 40258^2 + 19758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011085096 and 2011085105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 742393 + ... + 745096.

Almost surely, 2^2011085128 is an apocalyptic number.

It is an amenable number.

2011085128 is an abundant number, since it is smaller than the sum of its proper divisors (2072074922).

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

2011085128 is a wasteful number, since it uses less digits than its factorization.

2011085128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487521 (or 1487504 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 2011085128 is about 44845.1237928941. The cubic root of 2011085128 is about 1262.2444935736.

The spelling of 2011085128 in words is "two billion, eleven million, eighty-five thousand, one hundred twenty-eight".