2260725752041 has 9 divisors (see below), whose sum is σ = 2269751369431. Its totient is φ = 2251735901032.

The previous prime is 2260725752003. The next prime is 2260725752149. The reversal of 2260725752041 is 1402575270622.

The square root of 2260725752041 is 1503571.

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., 1317892520025 + 942833232016 = 1147995^2 + 970996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2260725752041 is a prime.

It is a super-2 number, since 2×2260725752041² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2260725759041) by changing a digit.

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, 395436315 + ... + 395442031.

Almost surely, 2^{2260725752041} is an apocalyptic number.

2260725752041 is the 1503571-st square number.

2260725752041 is the 751786-th centered octagonal number.

It is an amenable number.

2260725752041 is a deficient number, since it is larger than the sum of its proper divisors (9025617390).

2260725752041 is an frugal number, since it uses more digits than its factorization.

2260725752041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 2260725752041 in words is "two trillion, two hundred sixty billion, seven hundred twenty-five million, seven hundred fifty-two thousand, forty-one".