2729709686304 has 60 divisors (see below), whose sum is σ = 8028000369774. Its totient is φ = 909903227904.

The previous prime is 2729709686299. The next prime is 2729709686309. The reversal of 2729709686304 is 4036869079272.

It is an interprime number because it is at equal distance from previous prime (2729709686299) and next prime (2729709686309).

It can be written as a sum of positive squares in only one way, i.e., 1721396480400 + 1008313205904 = 1312020^2 + 1004148^2 .

It is not an unprimeable number, because it can be changed into a prime (2729709686309) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 526561777 + ... + 526566960.

Almost surely, 2^{2729709686304} is an apocalyptic number.

2729709686304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2729709686304 is an abundant number, since it is smaller than the sum of its proper divisors (5298290683470).

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

2729709686304 is a wasteful number, since it uses less digits than its factorization.

2729709686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053128759 (or 1053128742 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2729709686304 in words is "two trillion, seven hundred twenty-nine billion, seven hundred nine million, six hundred eighty-six thousand, three hundred four".