2417897647872 has 288 divisors, whose sum is σ = 8252522127360. Its totient is φ = 683986636800.

The previous prime is 2417897647871. The next prime is 2417897647943. The reversal of 2417897647872 is 2787467987142.

2417897647872 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 89 + 7 + 6 + 478 + 72 = 666.

2417897647872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2417897647872² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2417897647872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417897647871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4639393 + ... + 5134175.

It is an arithmetic number, because the mean of its divisors is an integer number (28654590720).

Almost surely, 2^{2417897647872} 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 2417897647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126261063680).

2417897647872 is an abundant number, since it is smaller than the sum of its proper divisors (5834624479488).

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

2417897647872 is a wasteful number, since it uses less digits than its factorization.

2417897647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494916 (or 494896 counting only the distinct ones).

The product of its digits is 531062784, while the sum is 72.

The spelling of 2417897647872 in words is "two trillion, four hundred seventeen billion, eight hundred ninety-seven million, six hundred forty-seven thousand, eight hundred seventy-two".