2011880832 has 128 divisors (see below), whose sum is σ = 5774146560. Its totient is φ = 616998912.

The previous prime is 2011880753. The next prime is 2011880851. The reversal of 2011880832 is 2380881102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2011880793 and 2011880802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330833 + ... + 2331695.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520).

Almost surely, 2^2011880832 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 2011880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887073280).

2011880832 is an abundant number, since it is smaller than the sum of its proper divisors (3762265728).

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

2011880832 is a wasteful number, since it uses less digits than its factorization.

2011880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2011880832 is about 44853.9946047172. The cubic root of 2011880832 is about 1262.4109444355.

The spelling of 2011880832 in words is "two billion, eleven million, eight hundred eighty thousand, eight hundred thirty-two".