2729931264 has 120 divisors (see below), whose sum is σ = 8342462700. Its totient is φ = 856424448.

The previous prime is 2729931241. The next prime is 2729931271. The reversal of 2729931264 is 4621399272.

2729931264 is a `hidden beast` number, since 272 + 9 + 9 + 312 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2662560000 + 67371264 = 51600^2 + 8208^2 .

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 11 ways as a sum of consecutive naturals, for example, 60912 + ... + 95760.

Almost surely, 2^2729931264 is an apocalyptic number.

2729931264 is a gapful number since it is divisible by the number (24) 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 2729931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171231350).

2729931264 is an abundant number, since it is smaller than the sum of its proper divisors (5612531436).

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

2729931264 is a wasteful number, since it uses less digits than its factorization.

2729931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34890 (or 34871 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2729931264 is about 52248.7441380173. The cubic root of 2729931264 is about 1397.6032570383.

The spelling of 2729931264 in words is "two billion, seven hundred twenty-nine million, nine hundred thirty-one thousand, two hundred sixty-four".