2271085680 has 80 divisors (see below), whose sum is σ = 7129543680. Its totient is φ = 597951744.

The previous prime is 2271085651. The next prime is 2271085727. The reversal of 2271085680 is 865801722.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40932 + ... + 78851.

It is an arithmetic number, because the mean of its divisors is an integer number (89119296).

Almost surely, 2^2271085680 is an apocalyptic number.

2271085680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2271085680 is an abundant number, since it is smaller than the sum of its proper divisors (4858458000).

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

2271085680 is a wasteful number, since it uses less digits than its factorization.

2271085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119878 (or 119872 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2271085680 is about 47655.9091823879. The cubic root of 2271085680 is about 1314.4513182720.

The spelling of 2271085680 in words is "two billion, two hundred seventy-one million, eighty-five thousand, six hundred eighty".