2729760320 has 112 divisors (see below), whose sum is σ = 7610295168. Its totient is φ = 913059840.

The previous prime is 2729760307. The next prime is 2729760331. The reversal of 2729760320 is 230679272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76979 + ... + 106701.

It is an arithmetic number, because the mean of its divisors is an integer number (67949064).

Almost surely, 2^2729760320 is an apocalyptic number.

2729760320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805147584).

2729760320 is an abundant number, since it is smaller than the sum of its proper divisors (4880534848).

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

2729760320 is a wasteful number, since it uses less digits than its factorization.

2729760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29788 (or 29778 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 2729760320 is about 52247.1082453374. The cubic root of 2729760320 is about 1397.5740845238.

The spelling of 2729760320 in words is "two billion, seven hundred twenty-nine million, seven hundred sixty thousand, three hundred twenty".