2230417391328 has 432 divisors, whose sum is σ = 7458858860544. Its totient is φ = 630335623680.

The previous prime is 2230417391327. The next prime is 2230417391369. The reversal of 2230417391328 is 8231937140322.

2230417391328 is a `hidden beast` number, since 2 + 2 + 304 + 17 + 3 + 9 + 1 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230417391327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 657744513 + ... + 657747903.

It is an arithmetic number, because the mean of its divisors is an integer number (17265876992).

Almost surely, 2^{2230417391328} is an apocalyptic number.

2230417391328 is a gapful number since it is divisible by the number (28) 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 2230417391328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729429430272).

2230417391328 is an abundant number, since it is smaller than the sum of its proper divisors (5228441469216).

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

2230417391328 is a wasteful number, since it uses less digits than its factorization.

2230417391328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2230417391328 in words is "two trillion, two hundred thirty billion, four hundred seventeen million, three hundred ninety-one thousand, three hundred twenty-eight".