2223451440 has 720 divisors, whose sum is σ = 9526533120. Its totient is φ = 461583360.

The previous prime is 2223451379. The next prime is 2223451487. The reversal of 2223451440 is 441543222.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20779867 + ... + 20779973.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2^2223451440 is an apocalyptic number.

2223451440 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 2223451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763266560).

2223451440 is an abundant number, since it is smaller than the sum of its proper divisors (7303081680).

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

2223451440 is a wasteful number, since it uses less digits than its factorization.

2223451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

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

The square root of 2223451440 is about 47153.4881000335. The cubic root of 2223451440 is about 1305.1964472838.

Adding to 2223451440 its reverse (441543222), we get a palindrome (2664994662).

The spelling of 2223451440 in words is "two billion, two hundred twenty-three million, four hundred fifty-one thousand, four hundred forty".