2731563066160 has 80 divisors (see below), whose sum is σ = 6362821190880. Its totient is φ = 1090572779520.

The previous prime is 2731563066109. The next prime is 2731563066187. The reversal of 2731563066160 is 616603651372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2731563066160² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2731563066160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177816880 + ... + 177832240.

It is an arithmetic number, because the mean of its divisors is an integer number (79535264886).

Almost surely, 2^{2731563066160} is an apocalyptic number.

2731563066160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2731563066160 is an abundant number, since it is smaller than the sum of its proper divisors (3631258124720).

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

2731563066160 is a wasteful number, since it uses less digits than its factorization.

2731563066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19406 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 2731563066160 in words is "two trillion, seven hundred thirty-one billion, five hundred sixty-three million, sixty-six thousand, one hundred sixty".