2011033120 has 24 divisors (see below), whose sum is σ = 4751066124. Its totient is φ = 804413184.

The previous prime is 2011033117. The next prime is 2011033153. The reversal of 2011033120 is 213301102.

It can be written as a sum of positive squares in 2 ways, for example, as 1865203344 + 145829776 = 43188^2 + 12076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2011033120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6284319 + ... + 6284638.

Almost surely, 2^2011033120 is an apocalyptic number.

2011033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011033120 is an abundant number, since it is smaller than the sum of its proper divisors (2740033004).

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

2011033120 is a wasteful number, since it uses less digits than its factorization.

2011033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568972 (or 12568964 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2011033120 is about 44844.5439267700. The cubic root of 2011033120 is about 1262.2336126522.

Adding to 2011033120 its reverse (213301102), we get a palindrome (2224334222).

The spelling of 2011033120 in words is "two billion, eleven million, thirty-three thousand, one hundred twenty".