2259105193024 has 63 divisors (see below), whose sum is σ = 4535996358901. Its totient is φ = 1116331927040.

The previous prime is 2259105193013. The next prime is 2259105193043. The reversal of 2259105193024 is 4203915019522.

The square root of 2259105193024 is 1503032.

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., 433796111424 + 1825309081600 = 658632^2 + 1351040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1070157729 + ... + 1070159839.

Almost surely, 2^{2259105193024} is an apocalyptic number.

2259105193024 is the 1503032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259105193024

2259105193024 is an abundant number, since it is smaller than the sum of its proper divisors (2276891165877).

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

2259105193024 is an frugal number, since it uses more digits than its factorization.

2259105193024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 2259105193024 in words is "two trillion, two hundred fifty-nine billion, one hundred five million, one hundred ninety-three thousand, twenty-four".