2277280 has 48 divisors (see below), whose sum is σ = 5521824. Its totient is φ = 887040.

The previous prime is 2277259. The next prime is 2277287. The reversal of 2277280 is 827722.

2277280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6715 + ... + 7045.

It is an arithmetic number, because the mean of its divisors is an integer number (115038).

2^2277280 is an apocalyptic number.

2277280 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 2277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760912).

2277280 is an abundant number, since it is smaller than the sum of its proper divisors (3244544).

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

2277280 is a wasteful number, since it uses less digits than its factorization.

2277280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2277280 is about 1509.0659362665. The cubic root of 2277280 is about 131.5645275987.

The spelling of 2277280 in words is "two million, two hundred seventy-seven thousand, two hundred eighty".