2271104640 has 768 divisors, whose sum is σ = 9776332800. Its totient is φ = 474439680.

The previous prime is 2271104611. The next prime is 2271104651. The reversal of 2271104640 is 464011722.

2271104640 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 10 + 4 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28748121 + ... + 28748199.

It is an arithmetic number, because the mean of its divisors is an integer number (12729600).

Almost surely, 2^2271104640 is an apocalyptic number.

2271104640 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 2271104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888166400).

2271104640 is an abundant number, since it is smaller than the sum of its proper divisors (7505228160).

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

2271104640 is a wasteful number, since it uses less digits than its factorization.

2271104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2271104640 is about 47656.1081079855. The cubic root of 2271104640 is about 1314.4549761301.

The spelling of 2271104640 in words is "two billion, two hundred seventy-one million, one hundred four thousand, six hundred forty".