2240131440 has 160 divisors (see below), whose sum is σ = 7164470016. Its totient is φ = 578672640.

The previous prime is 2240131433. The next prime is 2240131459. The reversal of 2240131440 is 441310422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351092 + ... + 1352748.

Almost surely, 2^2240131440 is an apocalyptic number.

2240131440 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 2240131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582235008).

2240131440 is an abundant number, since it is smaller than the sum of its proper divisors (4924338576).

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

2240131440 is a wasteful number, since it uses less digits than its factorization.

2240131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2240131440 is about 47330.0268328679. The cubic root of 2240131440 is about 1308.4521157746.

Adding to 2240131440 its reverse (441310422), we get a palindrome (2681441862).

The spelling of 2240131440 in words is "two billion, two hundred forty million, one hundred thirty-one thousand, four hundred forty".