2011443120 has 120 divisors (see below), whose sum is σ = 6783940800. Its totient is φ = 534094848.

The previous prime is 2011443101. The next prime is 2011443131. The reversal of 2011443120 is 213441102.

2011443120 is a `hidden beast` number, since 201 + 1 + 443 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011443093 and 2011443102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166236 + ... + 177924.

It is an arithmetic number, because the mean of its divisors is an integer number (56532840).

Almost surely, 2^2011443120 is an apocalyptic number.

2011443120 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 2011443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391970400).

2011443120 is an abundant number, since it is smaller than the sum of its proper divisors (4772497680).

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

2011443120 is a wasteful number, since it uses less digits than its factorization.

2011443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2011443120 is about 44849.1150414364. The cubic root of 2011443120 is about 1262.3193862463.

Adding to 2011443120 its reverse (213441102), we get a palindrome (2224884222).

The spelling of 2011443120 in words is "two billion, eleven million, four hundred forty-three thousand, one hundred twenty".