2579180610468 has 48 divisors (see below), whose sum is σ = 7503070869504. Its totient is φ = 669917041440.

The previous prime is 2579180610463. The next prime is 2579180610473. The reversal of 2579180610468 is 8640160819752.

It is an interprime number because it is at equal distance from previous prime (2579180610463) and next prime (2579180610473).

It is not an unprimeable number, because it can be changed into a prime (2579180610463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395659580 + ... + 1395661427.

It is an arithmetic number, because the mean of its divisors is an integer number (156313976448).

Almost surely, 2^{2579180610468} is an apocalyptic number.

2579180610468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2579180610468 is an abundant number, since it is smaller than the sum of its proper divisors (4923890259036).

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

2579180610468 is a wasteful number, since it uses less digits than its factorization.

2579180610468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791321032 (or 2791321030 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 2579180610468 in words is "two trillion, five hundred seventy-nine billion, one hundred eighty million, six hundred ten thousand, four hundred sixty-eight".