2281208320 has 80 divisors (see below), whose sum is σ = 5486512680. Its totient is φ = 909656064.

The previous prime is 2281208297. The next prime is 2281208339. The reversal of 2281208320 is 238021822.

It can be written as a sum of positive squares in 4 ways, for example, as 1583403264 + 697805056 = 39792^2 + 26416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2281208320⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 953686 + ... + 956074.

Almost surely, 2^2281208320 is an apocalyptic number.

2281208320 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 2281208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743256340).

2281208320 is an abundant number, since it is smaller than the sum of its proper divisors (3205304360).

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

2281208320 is an equidigital number, since it uses as much as digits as its factorization.

2281208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2281208320 is about 47761.9966081821. The cubic root of 2281208320 is about 1316.4013397605.

The spelling of 2281208320 in words is "two billion, two hundred eighty-one million, two hundred eight thousand, three hundred twenty".