2275280 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 731136.

The previous prime is 2275271. The next prime is 2275283. The reversal of 2275280 is 825722.

2275280 = T₁ + T₂ + ... + T₂₃₈.

2275280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2275280 is a nontrivial binomial coefficient, being equal to C(240, 3).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275283) by changing a digit.

It is the 238-th tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 9401 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2^2275280 is an apocalyptic number.

2275280 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 2275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2275280 is an abundant number, since it is smaller than the sum of its proper divisors (4152880).

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

2275280 is a wasteful number, since it uses less digits than its factorization.

2275280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2275280 is about 1508.4031291402. The cubic root of 2275280 is about 131.5260012101.

The spelling of 2275280 in words is "two million, two hundred seventy-five thousand, two hundred eighty".