2280768 has 56 divisors (see below), whose sum is σ = 6900672. Its totient is φ = 651264.

The previous prime is 2280767. The next prime is 2280823. The reversal of 2280768 is 8670822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 2192.

2^2280768 is an apocalyptic number.

2280768 is a gapful number since it is divisible by the number (28) 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 2280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450336).

2280768 is an abundant number, since it is smaller than the sum of its proper divisors (4619904).

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

2280768 is a wasteful number, since it uses less digits than its factorization.

2280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2280768 is about 1510.2211758547. The cubic root of 2280768 is about 131.6316636823.

The spelling of 2280768 in words is "two million, two hundred eighty thousand, seven hundred sixty-eight".