2228323368960 has 720 divisors, whose sum is σ = 8384479202736. Its totient is φ = 544185778176.

The previous prime is 2228323368959. The next prime is 2228323368979. The reversal of 2228323368960 is 698633238222.

2228323368960 is a `hidden beast` number, since 2 + 228 + 3 + 2 + 336 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11893211136 + 2216430157824 = 109056^2 + 1488768^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 2228323368897 and 2228323368906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313094832 + ... + 1313096528.

Almost surely, 2^{2228323368960} is an apocalyptic number.

2228323368960 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 2228323368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192239601368).

2228323368960 is an abundant number, since it is smaller than the sum of its proper divisors (6156155833776).

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

2228323368960 is a wasteful number, since it uses less digits than its factorization.

2228323368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2228323368960 in words is "two trillion, two hundred twenty-eight billion, three hundred twenty-three million, three hundred sixty-eight thousand, nine hundred sixty".