2011123540240 has 40 divisors (see below), whose sum is σ = 4950912953880. Its totient is φ = 757128861696.

The previous prime is 2011123540213. The next prime is 2011123540253. The reversal of 2011123540240 is 420453211102.

It can be written as a sum of positive squares in 4 ways, for example, as 315794545936 + 1695328994304 = 561956^2 + 1302048^2 .

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

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, 739382295 + ... + 739385014.

It is an arithmetic number, because the mean of its divisors is an integer number (123772823847).

Almost surely, 2^{2011123540240} is an apocalyptic number.

2011123540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011123540240 is an abundant number, since it is smaller than the sum of its proper divisors (2939789413640).

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

2011123540240 is a wasteful number, since it uses less digits than its factorization.

2011123540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478767339 (or 1478767333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2011123540240 its reverse (420453211102), we get a palindrome (2431576751342).

The spelling of 2011123540240 in words is "two trillion, eleven billion, one hundred twenty-three million, five hundred forty thousand, two hundred forty".