2011389120 has 336 divisors, whose sum is σ = 7695297792. Its totient is φ = 478863360.

The previous prime is 2011389097. The next prime is 2011389131. The reversal of 2011389120 is 219831102.

It is an unprimeable number.

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, 1159774 + ... + 1161506.

It is an arithmetic number, because the mean of its divisors is an integer number (22902672).

Almost surely, 2^2011389120 is an apocalyptic number.

2011389120 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 2011389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847648896).

2011389120 is an abundant number, since it is smaller than the sum of its proper divisors (5683908672).

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

2011389120 is a wasteful number, since it uses less digits than its factorization.

2011389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2011389120 is about 44848.5130188282. The cubic root of 2011389120 is about 1262.3080899029.

The spelling of 2011389120 in words is "two billion, eleven million, three hundred eighty-nine thousand, one hundred twenty".