2242351440 has 240 divisors, whose sum is σ = 8704800000. Its totient is φ = 506677248.

The previous prime is 2242351429. The next prime is 2242351453. The reversal of 2242351440 is 441532422.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 446061 + ... + 451059.

It is an arithmetic number, because the mean of its divisors is an integer number (36270000).

Almost surely, 2^2242351440 is an apocalyptic number.

2242351440 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 2242351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400000).

2242351440 is an abundant number, since it is smaller than the sum of its proper divisors (6462448560).

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

2242351440 is a wasteful number, since it uses less digits than its factorization.

2242351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2242351440 is about 47353.4733678534. The cubic root of 2242351440 is about 1308.8842042108.

Adding to 2242351440 its reverse (441532422), we get a palindrome (2683883862).

The spelling of 2242351440 in words is "two billion, two hundred forty-two million, three hundred fifty-one thousand, four hundred forty".