2272225819248 has 960 divisors, whose sum is σ = 8706322759680. Its totient is φ = 555784934400.

The previous prime is 2272225819247. The next prime is 2272225819277. The reversal of 2272225819248 is 8429185222722.

2272225819248 is a `hidden beast` number, since 227 + 2 + 225 + 8 + 192 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2272225819194 and 2272225819203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272225819243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029552961 + ... + 1029555167.

It is an arithmetic number, because the mean of its divisors is an integer number (9069086208).

Almost surely, 2^{2272225819248} is an apocalyptic number.

2272225819248 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 2272225819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353161379840).

2272225819248 is an abundant number, since it is smaller than the sum of its proper divisors (6434096940432).

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

2272225819248 is a wasteful number, since it uses less digits than its factorization.

2272225819248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2430 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 2272225819248 in words is "two trillion, two hundred seventy-two billion, two hundred twenty-five million, eight hundred nineteen thousand, two hundred forty-eight".