2011240440 has 192 divisors, whose sum is σ = 7506345600. Its totient is φ = 461894400.

The previous prime is 2011240417. The next prime is 2011240457. The reversal of 2011240440 is 440421102.

2011240440 is a `hidden beast` number, since 201 + 1 + 24 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 61875 + ... + 88605.

It is an arithmetic number, because the mean of its divisors is an integer number (39095550).

Almost surely, 2^2011240440 is an apocalyptic number.

2011240440 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 2011240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753172800).

2011240440 is an abundant number, since it is smaller than the sum of its proper divisors (5495105160).

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

2011240440 is a wasteful number, since it uses less digits than its factorization.

2011240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26778 (or 26771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2011240440 is about 44846.8554081554. The cubic root of 2011240440 is about 1262.2769862592.

Adding to 2011240440 its reverse (440421102), we get a palindrome (2451661542).

The spelling of 2011240440 in words is "two billion, eleven million, two hundred forty thousand, four hundred forty".