2281680168480 has 432 divisors, whose sum is σ = 8482747762944. Its totient is φ = 557826186240.

The previous prime is 2281680168479. The next prime is 2281680168553. The reversal of 2281680168480 is 848610861822.

2281680168480 is a `hidden beast` number, since 2 + 2 + 81 + 6 + 80 + 1 + 6 + 8 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16044247 + ... + 16185833.

It is an arithmetic number, because the mean of its divisors is an integer number (19635990192).

Almost surely, 2^{2281680168480} is an apocalyptic number.

2281680168480 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 2281680168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241373881472).

2281680168480 is an abundant number, since it is smaller than the sum of its proper divisors (6201067594464).

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

2281680168480 is a wasteful number, since it uses less digits than its factorization.

2281680168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141677 (or 141647 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 2281680168480 in words is "two trillion, two hundred eighty-one billion, six hundred eighty million, one hundred sixty-eight thousand, four hundred eighty".