2011440132240 has 640 divisors, whose sum is σ = 8055975813120. Its totient is φ = 402855936000.

The previous prime is 2011440132227. The next prime is 2011440132259. The reversal of 2011440132240 is 422310441102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2011440132240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346737340 + ... + 346743140.

It is an arithmetic number, because the mean of its divisors is an integer number (12587462208).

Almost surely, 2^{2011440132240} is an apocalyptic number.

2011440132240 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 2011440132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027987906560).

2011440132240 is an abundant number, since it is smaller than the sum of its proper divisors (6044535680880).

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

2011440132240 is a wasteful number, since it uses less digits than its factorization.

2011440132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2011440132240 its reverse (422310441102), we get a palindrome (2433750573342).

The spelling of 2011440132240 in words is "two trillion, eleven billion, four hundred forty million, one hundred thirty-two thousand, two hundred forty".