2225444336752 has 480 divisors, whose sum is σ = 5922420940800. Its totient is φ = 786541916160.

The previous prime is 2225444336747. The next prime is 2225444336809. The reversal of 2225444336752 is 2576334445222.

It is a junction number, because it is equal to n+sod(n) for n = 2225444336696 and 2225444336705.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 873064374 + ... + 873066922.

It is an arithmetic number, because the mean of its divisors is an integer number (12338376960).

Almost surely, 2^{2225444336752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225444336752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961210470400).

2225444336752 is an abundant number, since it is smaller than the sum of its proper divisors (3696976604048).

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

2225444336752 is a wasteful number, since it uses less digits than its factorization.

2225444336752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2654 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 49.

The spelling of 2225444336752 in words is "two trillion, two hundred twenty-five billion, four hundred forty-four million, three hundred thirty-six thousand, seven hundred fifty-two".