260949332224 has 81 divisors (see below), whose sum is σ = 606053731941. Its totient is φ = 111810908160.

The previous prime is 260949332221. The next prime is 260949332233. The reversal of 260949332224 is 422233949062.

The square root of 260949332224 is 510832.

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., 87360442624 + 173588889600 = 295568^2 + 416640^2 .

It is not an unprimeable number, because it can be changed into a prime (260949332221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57210904 + ... + 57215464.

Almost surely, 2^260949332224 is an apocalyptic number.

260949332224 is the 510832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260949332224

260949332224 is an abundant number, since it is smaller than the sum of its proper divisors (345104399717).

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

260949332224 is an frugal number, since it uses more digits than its factorization.

260949332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 260949332224 in words is "two hundred sixty billion, nine hundred forty-nine million, three hundred thirty-two thousand, two hundred twenty-four".