2243131440 has 320 divisors, whose sum is σ = 7964490240. Its totient is φ = 517242880.

The previous prime is 2243131417. The next prime is 2243131441. The reversal of 2243131440 is 441313422.

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 2243131440.

It is not an unprimeable number, because it can be changed into a prime (2243131441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6354304 + ... + 6354656.

It is an arithmetic number, because the mean of its divisors is an integer number (24889032).

Almost surely, 2^2243131440 is an apocalyptic number.

2243131440 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 2243131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982245120).

2243131440 is an abundant number, since it is smaller than the sum of its proper divisors (5721358800).

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

2243131440 is a wasteful number, since it uses less digits than its factorization.

2243131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2243131440 is about 47361.7085840450. The cubic root of 2243131440 is about 1309.0359513614.

Adding to 2243131440 its reverse (441313422), we get a palindrome (2684444862).

The spelling of 2243131440 in words is "two billion, two hundred forty-three million, one hundred thirty-one thousand, four hundred forty".