2011233120 has 192 divisors, whose sum is σ = 6887643840. Its totient is φ = 490364928.

The previous prime is 2011233083. The next prime is 2011233139. The reversal of 2011233120 is 213321102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011233120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678682 + ... + 681638.

It is an arithmetic number, because the mean of its divisors is an integer number (35873145).

Almost surely, 2^2011233120 is an apocalyptic number.

2011233120 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 2011233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443821920).

2011233120 is an abundant number, since it is smaller than the sum of its proper divisors (4876410720).

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

2011233120 is a wasteful number, since it uses less digits than its factorization.

2011233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2011233120 is about 44846.7737970080. The cubic root of 2011233120 is about 1262.2754548861.

Adding to 2011233120 its reverse (213321102), we get a palindrome (2224554222).

It can be divided in two parts, 201 and 1233120, that added together give a palindrome (1233321).

The spelling of 2011233120 in words is "two billion, eleven million, two hundred thirty-three thousand, one hundred twenty".