2287680000 has 200 divisors, whose sum is σ = 7618911168. Its totient is φ = 609792000.

The previous prime is 2287679963. The next prime is 2287680007. The reversal of 2287680000 is 867822.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2287680007) 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 19 ways as a sum of consecutive naturals, for example, 958809 + ... + 961191.

Almost surely, 2^2287680000 is an apocalyptic number.

2287680000 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 2287680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809455584).

2287680000 is an abundant number, since it is smaller than the sum of its proper divisors (5331231168).

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

2287680000 is an frugal number, since it uses more digits than its factorization.

2287680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2393 counting only the distinct ones).

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

The square root of 2287680000 is about 47829.6978874005. The cubic root of 2287680000 is about 1317.6450205051.

The spelling of 2287680000 in words is "two billion, two hundred eighty-seven million, six hundred eighty thousand".