2444240000000 has 176 divisors, whose sum is σ = 6107800574928. Its totient is φ = 977664000000.

The previous prime is 2444239999973. The next prime is 2444240000009. The reversal of 2444240000000 is 424442.

It can be written as a sum of positive squares in 8 ways, for example, as 1513647932416 + 930592067584 = 1230304^2 + 964672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444240000009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79984724 + ... + 80015276.

Almost surely, 2^{2444240000000} is an apocalyptic number.

2444240000000 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 2444240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053900287464).

2444240000000 is an abundant number, since it is smaller than the sum of its proper divisors (3663560574928).

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

2444240000000 is an frugal number, since it uses more digits than its factorization.

2444240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30608 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2444240000000 its reverse (424442), we get a palindrome (2444240424442).

The spelling of 2444240000000 in words is "two trillion, four hundred forty-four billion, two hundred forty million", and thus it is an aban number.