2472734235049 has 27 divisors (see below), whose sum is σ = 2716397048943. Its totient is φ = 2249897824512.

The previous prime is 2472734235043. The next prime is 2472734235077. The reversal of 2472734235049 is 9405324372742.

The square root of 2472734235049 is 1572493.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2288064643225 + 184669591824 = 1512635^2 + 429732^2 .

It is not a de Polignac number, because 2472734235049 - 2¹⁷ = 2472734103977 is a prime.

It is a super-2 number, since 2×2472734235049² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2472734234987 and 2472734235005.

It is not an unprimeable number, because it can be changed into a prime (2472734235043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1492295029 + ... + 1492296685.

It is an arithmetic number, because the mean of its divisors is an integer number (100607298109).

Almost surely, 2^{2472734235049} is an apocalyptic number.

2472734235049 is the 1572493-rd square number.

2472734235049 is the 786247-th centered octagonal number.

It is an amenable number.

2472734235049 is a deficient number, since it is larger than the sum of its proper divisors (243662813894).

2472734235049 is an frugal number, since it uses more digits than its factorization.

2472734235049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 2472734235049 in words is "two trillion, four hundred seventy-two billion, seven hundred thirty-four million, two hundred thirty-five thousand, forty-nine".