2579068978704 has 135 divisors (see below), whose sum is σ = 7420210881447. Its totient is φ = 836223547392.

The previous prime is 2579068978699. The next prime is 2579068978817. The reversal of 2579068978704 is 4078798609752.

The square root of 2579068978704 is 1605948.

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

It can be written as a sum of positive squares in 4 ways, for example, as 170116652304 + 2408952326400 = 412452^2 + 1552080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 713039104 + ... + 713042720.

Almost surely, 2^{2579068978704} is an apocalyptic number.

2579068978704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2579068978704 is the 1605948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579068978704

2579068978704 is an abundant number, since it is smaller than the sum of its proper divisors (4841141902743).

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

2579068978704 is an frugal number, since it uses more digits than its factorization.

2579068978704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 2579068978704 in words is "two trillion, five hundred seventy-nine billion, sixty-eight million, nine hundred seventy-eight thousand, seven hundred four".