2271407680160 has 192 divisors, whose sum is σ = 5983785964800. Its totient is φ = 809721741312.

The previous prime is 2271407680153. The next prime is 2271407680247. The reversal of 2271407680160 is 610867041722.

It is a Cunningham number, because it is equal to 1507119²-1.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 120560021 + ... + 120578859.

It is an arithmetic number, because the mean of its divisors is an integer number (31165551900).

Almost surely, 2^{2271407680160} is an apocalyptic number.

2271407680160 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 2271407680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991892982400).

2271407680160 is an abundant number, since it is smaller than the sum of its proper divisors (3712378284640).

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

2271407680160 is a wasteful number, since it uses less digits than its factorization.

2271407680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21223 (or 21215 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 2271407680160 in words is "two trillion, two hundred seventy-one billion, four hundred seven million, six hundred eighty thousand, one hundred sixty".