2517679344 has 20 divisors (see below), whose sum is σ = 6504005096. Its totient is φ = 839226432.

The previous prime is 2517679321. The next prime is 2517679387. The reversal of 2517679344 is 4439767152.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 52451653 = 2517679344 / (2 + 5 + 1 + 7 + 6 + 7 + 9 + 3 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2517679293 and 2517679302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26225779 + ... + 26225874.

Almost surely, 2^2517679344 is an apocalyptic number.

2517679344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2517679344 is an abundant number, since it is smaller than the sum of its proper divisors (3986325752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2517679344 is a wasteful number, since it uses less digits than its factorization.

2517679344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52451664 (or 52451658 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 2517679344 is about 50176.4819811035. The cubic root of 2517679344 is about 1360.4005711632.

The spelling of 2517679344 in words is "two billion, five hundred seventeen million, six hundred seventy-nine thousand, three hundred forty-four".