2242812443648 has 352 divisors, whose sum is σ = 5850413775360. Its totient is φ = 836110909440.

The previous prime is 2242812443633. The next prime is 2242812443681. The reversal of 2242812443648 is 8463442182422.

It is a junction number, because it is equal to n+sod(n) for n = 2242812443596 and 2242812443605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94914011 + ... + 94937637.

It is an arithmetic number, because the mean of its divisors is an integer number (16620493680).

Almost surely, 2^{2242812443648} is an apocalyptic number.

2242812443648 is a gapful number since it is divisible by the number (28) 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 2242812443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925206887680).

2242812443648 is an abundant number, since it is smaller than the sum of its proper divisors (3607601331712).

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

2242812443648 is a wasteful number, since it uses less digits than its factorization.

2242812443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23731 (or 23713 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 50.

The spelling of 2242812443648 in words is "two trillion, two hundred forty-two billion, eight hundred twelve million, four hundred forty-three thousand, six hundred forty-eight".