2079730284129 has 27 divisors (see below), whose sum is σ = 3191271474937. Its totient is φ = 1304882657664.

The previous prime is 2079730284119. The next prime is 2079730284139. The reversal of 2079730284129 is 9214820379702.

It is a happy number.

The square root of 2079730284129 is 1442127.

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

2079730284129 is a `hidden beast` number, since 207 + 9 + 7 + 30 + 284 + 129 = 666.

It is an interprime number because it is at equal distance from previous prime (2079730284119) and next prime (2079730284139).

It can be written as a sum of positive squares in 4 ways, for example, as 59181752529 + 2020548531600 = 243273^2 + 1421460^2 .

It is not a de Polignac number, because 2079730284129 - 2³¹ = 2077582800481 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2079730284109) 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, 73534339 + ... + 73562615.

Almost surely, 2^{2079730284129} is an apocalyptic number.

2079730284129 is the 1442127-th square number.

2079730284129 is the 721064-th centered octagonal number.

It is an amenable number.

2079730284129 is a deficient number, since it is larger than the sum of its proper divisors (1111541190808).

2079730284129 is an frugal number, since it uses more digits than its factorization.

2079730284129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56594 (or 28297 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2079730284129 in words is "two trillion, seventy-nine billion, seven hundred thirty million, two hundred eighty-four thousand, one hundred twenty-nine".