2753205841 has 9 divisors (see below), whose sum is σ = 2780709211. Its totient is φ = 2725973392.

The previous prime is 2753205817. The next prime is 2753205901. The reversal of 2753205841 is 1485023572.

The square root of 2753205841 is 52471.

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., 1617246225 + 1135959616 = 40215^2 + 33704^2 .

It is not a de Polignac number, because 2753205841 - 2¹³ = 2753197649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2753205841.

It is not an unprimeable number, because it can be changed into a prime (2753200841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7188336 + ... + 7188718.

Almost surely, 2^2753205841 is an apocalyptic number.

2753205841 is the 52471-st square number.

2753205841 is the 26236-th centered octagonal number.

It is an amenable number.

2753205841 is a deficient number, since it is larger than the sum of its proper divisors (27503370).

2753205841 is an frugal number, since it uses more digits than its factorization.

2753205841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The cubic root of 2753205841 is about 1401.5638716426.

The spelling of 2753205841 in words is "two billion, seven hundred fifty-three million, two hundred five thousand, eight hundred forty-one".