2280223680 has 224 divisors, whose sum is σ = 8634276864. Its totient is φ = 498499584.

The previous prime is 2280223661. The next prime is 2280223691. The reversal of 2280223680 is 863220822.

2280223680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147184 + ... + 161936.

Almost surely, 2^2280223680 is an apocalyptic number.

2280223680 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 2280223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317138432).

2280223680 is an abundant number, since it is smaller than the sum of its proper divisors (6354053184).

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

2280223680 is a wasteful number, since it uses less digits than its factorization.

2280223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14803 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2280223680 is about 47751.6877188650. The cubic root of 2280223680 is about 1316.2119126721.

The spelling of 2280223680 in words is "two billion, two hundred eighty million, two hundred twenty-three thousand, six hundred eighty".