2079387072064 has 189 divisors, whose sum is σ = 4592108785411. Its totient is φ = 933959741440.

The previous prime is 2079387072053. The next prime is 2079387072067. The reversal of 2079387072064 is 4602707839702.

The square root of 2079387072064 is 1442008.

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 25921000000 + 2053466072064 = 161000^2 + 1432992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2079387071996 and 2079387072014.

It is not an unprimeable number, because it can be changed into a prime (2079387072067) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4510600794 + ... + 4510601254.

Almost surely, 2^{2079387072064} is an apocalyptic number.

2079387072064 is the 1442008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079387072064

2079387072064 is an abundant number, since it is smaller than the sum of its proper divisors (2512721713347).

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

2079387072064 is an frugal number, since it uses more digits than its factorization.

2079387072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 55.

The spelling of 2079387072064 in words is "two trillion, seventy-nine billion, three hundred eighty-seven million, seventy-two thousand, sixty-four".