2271082920 has 128 divisors (see below), whose sum is σ = 7279372800. Its totient is φ = 565145856.

The previous prime is 2271082861. The next prime is 2271082937. The reversal of 2271082920 is 292801722.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145327 + ... + 160193.

It is an arithmetic number, because the mean of its divisors is an integer number (56870100).

Almost surely, 2^2271082920 is an apocalyptic number.

2271082920 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 2271082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639686400).

2271082920 is an abundant number, since it is smaller than the sum of its proper divisors (5008289880).

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

2271082920 is a wasteful number, since it uses less digits than its factorization.

2271082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14967 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2271082920 is about 47655.8802247949. The cubic root of 2271082920 is about 1314.4507857972.

The spelling of 2271082920 in words is "two billion, two hundred seventy-one million, eighty-two thousand, nine hundred twenty".