2271280 has 80 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 788480.

The previous prime is 2271271. The next prime is 2271281. The reversal of 2271280 is 821722.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2271281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25476 + ... + 25564.

It is an arithmetic number, because the mean of its divisors is an integer number (75330).

2^2271280 is an apocalyptic number.

2271280 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 2271280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2271280 is an abundant number, since it is smaller than the sum of its proper divisors (3755120).

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

2271280 is a wasteful number, since it uses less digits than its factorization.

2271280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2271280 is about 1507.0766403869. The cubic root of 2271280 is about 131.4488806494.

The spelling of 2271280 in words is "two million, two hundred seventy-one thousand, two hundred eighty".