2281781824 has 63 divisors (see below), whose sum is σ = 5273343657. Its totient is φ = 976760064.

The previous prime is 2281781819. The next prime is 2281781833. The reversal of 2281781824 is 4281871822.

The square root of 2281781824 is 47768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 131790400 + 2149991424 = 11480^2 + 46368^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2674582 + ... + 2675434.

Almost surely, 2^2281781824 is an apocalyptic number.

2281781824 is the 47768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281781824

2281781824 is an abundant number, since it is smaller than the sum of its proper divisors (2991561833).

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

2281781824 is an frugal number, since it uses more digits than its factorization.

2281781824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 862 counting only the distinct ones).

The product of its digits is 114688, while the sum is 43.

The cubic root of 2281781824 is about 1316.5116465322.

The spelling of 2281781824 in words is "two billion, two hundred eighty-one million, seven hundred eighty-one thousand, eight hundred twenty-four".