2468765817 has 128 divisors (see below), whose sum is σ = 4623564800. Its totient is φ = 1270209600.

The previous prime is 2468765809. The next prime is 2468765821. The reversal of 2468765817 is 7185678642.

It is not a de Polignac number, because 2468765817 - 2³ = 2468765809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2468765807) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7458342 + ... + 7458672.

It is an arithmetic number, because the mean of its divisors is an integer number (36121600).

Almost surely, 2^2468765817 is an apocalyptic number.

2468765817 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2468765817 is a deficient number, since it is larger than the sum of its proper divisors (2154798983).

2468765817 is a wasteful number, since it uses less digits than its factorization.

2468765817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2468765817 is about 49686.6764535524. The cubic root of 2468765817 is about 1351.5329302977.

The spelling of 2468765817 in words is "two billion, four hundred sixty-eight million, seven hundred sixty-five thousand, eight hundred seventeen".