2011408128 has 108 divisors (see below), whose sum is σ = 5879320720. Its totient is φ = 661229568.

The previous prime is 2011408111. The next prime is 2011408219. The reversal of 2011408128 is 8218041102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162213 + ... + 174171.

Almost surely, 2^2011408128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939660360).

2011408128 is an abundant number, since it is smaller than the sum of its proper divisors (3867912592).

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

2011408128 is a wasteful number, since it uses less digits than its factorization.

2011408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12054 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2011408128 is about 44848.7249317079. The cubic root of 2011408128 is about 1262.3120662389.

The spelling of 2011408128 in words is "two billion, eleven million, four hundred eight thousand, one hundred twenty-eight".