2238547675680 has 1152 divisors, whose sum is σ = 8715649662720. Its totient is φ = 519800094720.

The previous prime is 2238547675621. The next prime is 2238547675681. The reversal of 2238547675680 is 865767458322.

2238547675680 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 5 + 4 + 7 + 67 + 568 + 0 = 666.

It is a super-2 number, since 2×2238547675680² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2238547675681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7291686087 + ... + 7291686393.

It is an arithmetic number, because the mean of its divisors is an integer number (7565668110).

Almost surely, 2^{2238547675680} is an apocalyptic number.

2238547675680 is a gapful number since it is divisible by the number (20) 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 2238547675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357824831360).

2238547675680 is an abundant number, since it is smaller than the sum of its proper divisors (6477101987040).

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

2238547675680 is a wasteful number, since it uses less digits than its factorization.

2238547675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 2238547675680 in words is "two trillion, two hundred thirty-eight billion, five hundred forty-seven million, six hundred seventy-five thousand, six hundred eighty".