2442444321312 has 72 divisors (see below), whose sum is σ = 6945916425084. Its totient is φ = 814122860544.

The previous prime is 2442444321311. The next prime is 2442444321313. The reversal of 2442444321312 is 2131234442442.

2442444321312 is a `hidden beast` number, since 2 + 4 + 424 + 4 + 4 + 3 + 213 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2442444321311) and next prime (2442444321313).

It can be written as a sum of positive squares in 2 ways, for example, as 2428623027216 + 13821294096 = 1558404^2 + 117564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2442444321311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10725628 + ... + 10950980.

Almost surely, 2^{2442444321312} is an apocalyptic number.

It is an amenable number.

2442444321312 is an abundant number, since it is smaller than the sum of its proper divisors (4503472103772).

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

2442444321312 is a wasteful number, since it uses less digits than its factorization.

2442444321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263002 (or 262991 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2442444321312 its reverse (2131234442442), we get a palindrome (4573678763754).

The spelling of 2442444321312 in words is "two trillion, four hundred forty-two billion, four hundred forty-four million, three hundred twenty-one thousand, three hundred twelve".