2011831340 has 144 divisors (see below), whose sum is σ = 4859743392. Its totient is φ = 696563712.

The previous prime is 2011831291. The next prime is 2011831343. The reversal of 2011831340 is 431381102.

It is not an unprimeable number, because it can be changed into a prime (2011831343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4541159 + ... + 4541601.

It is an arithmetic number, because the mean of its divisors is an integer number (33748218).

Almost surely, 2^2011831340 is an apocalyptic number.

2011831340 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 2011831340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429871696).

2011831340 is an abundant number, since it is smaller than the sum of its proper divisors (2847912052).

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

2011831340 is a wasteful number, since it uses less digits than its factorization.

2011831340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2011831340 is about 44853.4429001833. The cubic root of 2011831340 is about 1262.4005926370.

The spelling of 2011831340 in words is "two billion, eleven million, eight hundred thirty-one thousand, three hundred forty".