2579197456144 has 45 divisors (see below), whose sum is σ = 5027509746343. Its totient is φ = 1281822534176.

The previous prime is 2579197456097. The next prime is 2579197456183. The reversal of 2579197456144 is 4416547919752.

The square root of 2579197456144 is 1605988.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1149886287 + ... + 1149888529.

Almost surely, 2^{2579197456144} is an apocalyptic number.

2579197456144 is the 1605988-th square number.

It is an amenable number.

2579197456144 is a deficient number, since it is larger than the sum of its proper divisors (2448312290199).

2579197456144 is an frugal number, since it uses more digits than its factorization.

2579197456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 2424 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 64.

Multiplying 2579197456144 by its sum of digits (64), we get a square (165068637193216 = 12847904²).

The spelling of 2579197456144 in words is "two trillion, five hundred seventy-nine billion, one hundred ninety-seven million, four hundred fifty-six thousand, one hundred forty-four".