2271646080 has 1024 divisors, whose sum is σ = 10046592000. Its totient is φ = 477757440.

The previous prime is 2271646033. The next prime is 2271646121. The reversal of 2271646080 is 806461722.

2271646080 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 646 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61395822 + ... + 61395858.

It is an arithmetic number, because the mean of its divisors is an integer number (9811125).

Almost surely, 2^2271646080 is an apocalyptic number.

2271646080 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 2271646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023296000).

2271646080 is an abundant number, since it is smaller than the sum of its proper divisors (7774945920).

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

2271646080 is a wasteful number, since it uses less digits than its factorization.

2271646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2271646080 is about 47661.7884683317. The cubic root of 2271646080 is about 1314.5594248552.

The spelling of 2271646080 in words is "two billion, two hundred seventy-one million, six hundred forty-six thousand, eighty".