2720589635241 has 45 divisors (see below), whose sum is σ = 4098280538253. Its totient is φ = 1798594635240.

The previous prime is 2720589635167. The next prime is 2720589635261. The reversal of 2720589635241 is 1425369850272.

The square root of 2720589635241 is 1649421.

It is a perfect power (a square), and thus also a powerful number.

2720589635241 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 58 + 9 + 63 + 524 + 1 = 666.

It is not a de Polignac number, because 2720589635241 - 2²¹ = 2720587538089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2720589635261) 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, 1944666660 + ... + 1944668058.

It is a 1-persistent number, because it is pandigital, but 2⋅2720589635241 = 5441179270482 is not.

Almost surely, 2^{2720589635241} is an apocalyptic number.

2720589635241 is the 1649421-st square number.

2720589635241 is the 824711-st centered octagonal number.

It is an amenable number.

2720589635241 is a deficient number, since it is larger than the sum of its proper divisors (1377690903012).

2720589635241 is an frugal number, since it uses more digits than its factorization.

2720589635241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2720589635241 in words is "two trillion, seven hundred twenty billion, five hundred eighty-nine million, six hundred thirty-five thousand, two hundred forty-one".