2464824609 has 81 divisors (see below), whose sum is σ = 4130460243. Its totient is φ = 1415535264.

The previous prime is 2464824581. The next prime is 2464824617. The reversal of 2464824609 is 9064284642.

The square root of 2464824609 is 49647.

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., 364619025 + 2100205584 = 19095^2 + 45828^2 .

It is not a de Polignac number, because 2464824609 - 2⁹ = 2464824097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2464822609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36788394 + ... + 36788460.

Almost surely, 2^2464824609 is an apocalyptic number.

2464824609 is the 49647-th square number.

2464824609 is the 24824-th centered octagonal number.

It is an amenable number.

2464824609 is a deficient number, since it is larger than the sum of its proper divisors (1665635634).

2464824609 is a wasteful number, since it uses less digits than its factorization.

2464824609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The cubic root of 2464824609 is about 1350.8133386935.

The spelling of 2464824609 in words is "two billion, four hundred sixty-four million, eight hundred twenty-four thousand, six hundred nine".