2263280 has 40 divisors (see below), whose sum is σ = 5542800. Its totient is φ = 857088.

The previous prime is 2263273. The next prime is 2263307. The reversal of 2263280 is 823622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (138570).

2^2263280 is an apocalyptic number.

2263280 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 2263280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771400).

2263280 is an abundant number, since it is smaller than the sum of its proper divisors (3279520).

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

2263280 is a wasteful number, since it uses less digits than its factorization.

2263280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2263280 is about 1504.4201540793. The cubic root of 2263280 is about 131.2943674645.

The spelling of 2263280 in words is "two million, two hundred sixty-three thousand, two hundred eighty".