2242458330256 has 135 divisors (see below), whose sum is σ = 4667114223723. Its totient is φ = 1043686448640.

The previous prime is 2242458330253. The next prime is 2242458330257. The reversal of 2242458330256 is 6520338542422.

The square root of 2242458330256 is 1497484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 324831603600 + 1917626726656 = 569940^2 + 1384784^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2242458330253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5648509450 + ... + 5648509846.

Almost surely, 2^{2242458330256} is an apocalyptic number.

2242458330256 is the 1497484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242458330256

2242458330256 is an abundant number, since it is smaller than the sum of its proper divisors (2424655893467).

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

2242458330256 is an frugal number, since it uses more digits than its factorization.

2242458330256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 2242458330256 in words is "two trillion, two hundred forty-two billion, four hundred fifty-eight million, three hundred thirty thousand, two hundred fifty-six".