2282357468160 has 1056 divisors, whose sum is σ = 10293440048640. Its totient is φ = 474240614400.

The previous prime is 2282357468123. The next prime is 2282357468179. The reversal of 2282357468160 is 618647532822.

2282357468160 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 3 + 574 + 6 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×2282357468160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2282357468097 and 2282357468106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74496045 + ... + 74526675.

Almost surely, 2^{2282357468160} is an apocalyptic number.

2282357468160 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 2282357468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146720024320).

2282357468160 is an abundant number, since it is smaller than the sum of its proper divisors (8011082580480).

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

2282357468160 is a wasteful number, since it uses less digits than its factorization.

2282357468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30690 (or 30659 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2282357468160 in words is "two trillion, two hundred eighty-two billion, three hundred fifty-seven million, four hundred sixty-eight thousand, one hundred sixty".