2464530517657 has 8 divisors (see below), whose sum is σ = 2654253350280. Its totient is φ = 2274828193920.

The previous prime is 2464530517639. The next prime is 2464530517711. The reversal of 2464530517657 is 7567150354642.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394238317456 + 2070292200201 = 627884^2 + 1438851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2464530517657 - 2²³ = 2464522129049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2464530517598 and 2464530517607.

It is not an unprimeable number, because it can be changed into a prime (2464530517627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4877182 + ... + 5358727.

It is an arithmetic number, because the mean of its divisors is an integer number (331781668785).

Almost surely, 2^{2464530517657} is an apocalyptic number.

It is an amenable number.

2464530517657 is a deficient number, since it is larger than the sum of its proper divisors (189722832623).

2464530517657 is a wasteful number, since it uses less digits than its factorization.

2464530517657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254443.

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 2464530517657 in words is "two trillion, four hundred sixty-four billion, five hundred thirty million, five hundred seventeen thousand, six hundred fifty-seven".