2579801342976 has 1155 divisors, whose sum is σ = 9207123982763. Its totient is φ = 721622753280.

The previous prime is 2579801342959. The next prime is 2579801342981. The reversal of 2579801342976 is 6792431089752.

The square root of 2579801342976 is 1606176.

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

2579801342976 is a `hidden beast` number, since 2 + 57 + 9 + 80 + 13 + 429 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1279106712576 + 1300694630400 = 1130976^2 + 1140480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 198446257146 + ... + 198446257158.

It is a 1-persistent number, because it is pandigital, but 2⋅2579801342976 = 5159602685952 is not.

Almost surely, 2^{2579801342976} is an apocalyptic number.

2579801342976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2579801342976 is the 1606176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579801342976

2579801342976 is an abundant number, since it is smaller than the sum of its proper divisors (6627322639787).

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

2579801342976 is an frugal number, since it uses more digits than its factorization.

2579801342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2579801342976 in words is "two trillion, five hundred seventy-nine billion, eight hundred one million, three hundred forty-two thousand, nine hundred seventy-six".