2281728960 has 448 divisors, whose sum is σ = 9503907840. Its totient is φ = 504299520.

The previous prime is 2281728959. The next prime is 2281728979. The reversal of 2281728960 is 698271822.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874272 + ... + 1875488.

It is an arithmetic number, because the mean of its divisors is an integer number (21214080).

Almost surely, 2^2281728960 is an apocalyptic number.

2281728960 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 2281728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751953920).

2281728960 is an abundant number, since it is smaller than the sum of its proper divisors (7222178880).

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

2281728960 is a wasteful number, since it uses less digits than its factorization.

2281728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2281728960 is about 47767.4466556461. The cubic root of 2281728960 is about 1316.5014795349.

The spelling of 2281728960 in words is "two billion, two hundred eighty-one million, seven hundred twenty-eight thousand, nine hundred sixty".