2472354563328 has 432 divisors, whose sum is σ = 7956838191120. Its totient is φ = 733071015936.

The previous prime is 2472354563323. The next prime is 2472354563339. The reversal of 2472354563328 is 8233654532742.

2472354563328 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 3 + 54 + 563 + 3 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12626567424 + 2459727995904 = 112368^2 + 1568352^2 .

It is a super-2 number, since 2×2472354563328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472354563321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501184350 + ... + 501189282.

Almost surely, 2^{2472354563328} 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 2472354563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978419095560).

2472354563328 is an abundant number, since it is smaller than the sum of its proper divisors (5484483627792).

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

2472354563328 is a wasteful number, since it uses less digits than its factorization.

2472354563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5557 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 2472354563328 in words is "two trillion, four hundred seventy-two billion, three hundred fifty-four million, five hundred sixty-three thousand, three hundred twenty-eight".