2287680 has 56 divisors (see below), whose sum is σ = 7266432. Its totient is φ = 609792.

The previous prime is 2287679. The next prime is 2287687. The reversal of 2287680 is 867822.

It is not an unprimeable number, because it can be changed into a prime (2287687) 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 7 ways as a sum of consecutive naturals, for example, 232 + ... + 2151.

2^2287680 is an apocalyptic number.

2287680 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 2287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633216).

2287680 is an abundant number, since it is smaller than the sum of its proper divisors (4978752).

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

2287680 is a wasteful number, since it uses less digits than its factorization.

2287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2393 counting only the distinct ones).

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

The square root of 2287680 is about 1512.5078512193. The cubic root of 2287680 is about 131.7645020505.

The spelling of 2287680 in words is "two million, two hundred eighty-seven thousand, six hundred eighty".