2464564031449 has 27 divisors (see below), whose sum is σ = 2686727617623. Its totient is φ = 2259741661632.

The previous prime is 2464564031431. The next prime is 2464564031471. The reversal of 2464564031449 is 9441304654642.

The square root of 2464564031449 is 1569893.

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 2236206206025 + 228357825424 = 1495395^2 + 477868^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2464564031449 is a prime.

It is a super-2 number, since 2×2464564031449² (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 = 2464564031396 and 2464564031405.

It is not an unprimeable number, because it can be changed into a prime (2464564037449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4020495667 + ... + 4020496279.

Almost surely, 2^{2464564031449} is an apocalyptic number.

2464564031449 is the 1569893-rd square number.

2464564031449 is the 784947-th centered octagonal number.

It is an amenable number.

2464564031449 is a deficient number, since it is larger than the sum of its proper divisors (222163586174).

2464564031449 is an frugal number, since it uses more digits than its factorization.

2464564031449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 2464564031449 in words is "two trillion, four hundred sixty-four billion, five hundred sixty-four million, thirty-one thousand, four hundred forty-nine".