2224725942672 has 320 divisors, whose sum is σ = 6832753152000. Its totient is φ = 690989916672.

The previous prime is 2224725942671. The next prime is 2224725942689. The reversal of 2224725942672 is 2762495274222.

2224725942672 is a `hidden beast` number, since 2 + 2 + 2 + 47 + 2 + 594 + 2 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2224725942671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403100329 + ... + 403105847.

It is an arithmetic number, because the mean of its divisors is an integer number (21352353600).

Almost surely, 2^{2224725942672} 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 2224725942672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416376576000).

2224725942672 is an abundant number, since it is smaller than the sum of its proper divisors (4608027209328).

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

2224725942672 is a wasteful number, since it uses less digits than its factorization.

2224725942672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6343 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 2224725942672 in words is "two trillion, two hundred twenty-four billion, seven hundred twenty-five million, nine hundred forty-two thousand, six hundred seventy-two".