2011120240 has 40 divisors (see below), whose sum is σ = 4745656080. Its totient is φ = 792439296.

The previous prime is 2011120219. The next prime is 2011120261. The reversal of 2011120240 is 420211102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011120219) and next prime (2011120261).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2011120240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182245 + ... + 192964.

It is an arithmetic number, because the mean of its divisors is an integer number (118641402).

Almost surely, 2^2011120240 is an apocalyptic number.

2011120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011120240 is an abundant number, since it is smaller than the sum of its proper divisors (2734535840).

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

2011120240 is a wasteful number, since it uses less digits than its factorization.

2011120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375289 (or 375283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2011120240 is about 44845.5152718753. The cubic root of 2011120240 is about 1262.2518394703.

Adding to 2011120240 its reverse (420211102), we get a palindrome (2431331342).

The spelling of 2011120240 in words is "two billion, eleven million, one hundred twenty thousand, two hundred forty".