2224982867328 has 384 divisors, whose sum is σ = 7461427034880. Its totient is φ = 654841718784.

The previous prime is 2224982867279. The next prime is 2224982867339. The reversal of 2224982867328 is 8237682894222.

2224982867328 is a `hidden beast` number, since 2 + 2 + 24 + 9 + 8 + 286 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9180475 + ... + 9419717.

It is an arithmetic number, because the mean of its divisors is an integer number (19430799570).

Almost surely, 2^{2224982867328} 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 2224982867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730713517440).

2224982867328 is an abundant number, since it is smaller than the sum of its proper divisors (5236444167552).

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

2224982867328 is a wasteful number, since it uses less digits than its factorization.

2224982867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239308 (or 239284 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 2224982867328 in words is "two trillion, two hundred twenty-four billion, nine hundred eighty-two million, eight hundred sixty-seven thousand, three hundred twenty-eight".