2208728020041 has 45 divisors (see below), whose sum is σ = 3391802549751. Its totient is φ = 1432367430768.

The previous prime is 2208728020003. The next prime is 2208728020049. The reversal of 2208728020041 is 1400208278022.

The square root of 2208728020041 is 1486179.

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., 1976400164025 + 232327856016 = 1405845^2 + 482004^2 .

It is not a de Polignac number, because 2208728020041 - 2¹³ = 2208728011849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2208728019978 and 2208728020005.

It is not an unprimeable number, because it can be changed into a prime (2208728020049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 494895376 + ... + 494899838.

Almost surely, 2^{2208728020041} is an apocalyptic number.

2208728020041 is the 1486179-th square number.

2208728020041 is the 743090-th centered octagonal number.

It is an amenable number.

2208728020041 is a deficient number, since it is larger than the sum of its proper divisors (1183074529710).

2208728020041 is an frugal number, since it uses more digits than its factorization.

2208728020041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 2208728020041 by its sum of digits (36), we get a square (79514208721476 = 8917074²).

The spelling of 2208728020041 in words is "two trillion, two hundred eight billion, seven hundred twenty-eight million, twenty thousand, forty-one".