2261584448 has 28 divisors (see below), whose sum is σ = 4609129212. Its totient is φ = 1100229120.

The previous prime is 2261584387. The next prime is 2261584453. The reversal of 2261584448 is 8444851622.

It can be written as a sum of positive squares in 2 ways, for example, as 2080089664 + 181494784 = 45608^2 + 13472^2 .

It is a super-2 number, since 2×2261584448² = 10229528430870929408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261584399 and 2261584408.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 475163 + ... + 479898.

Almost surely, 2^2261584448 is an apocalyptic number.

It is an amenable number.

2261584448 is an abundant number, since it is smaller than the sum of its proper divisors (2347544764).

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

2261584448 is an equidigital number, since it uses as much as digits as its factorization.

2261584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955110 (or 955100 counting only the distinct ones).

The product of its digits is 491520, while the sum is 44.

The square root of 2261584448 is about 47556.1189333192. The cubic root of 2261584448 is about 1312.6157257657.

The spelling of 2261584448 in words is "two billion, two hundred sixty-one million, five hundred eighty-four thousand, four hundred forty-eight".