2729838672 has 480 divisors, whose sum is σ = 9359400960. Its totient is φ = 762048000.

The previous prime is 2729838649. The next prime is 2729838673. The reversal of 2729838672 is 2768389272.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4064256) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729838673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38448397 + ... + 38448467.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^2729838672 is an apocalyptic number.

2729838672 is a gapful number since it is divisible by the number (22) 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 2729838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2729838672 is an abundant number, since it is smaller than the sum of its proper divisors (6629562288).

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

2729838672 is a wasteful number, since it uses less digits than its factorization.

2729838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2729838672 is about 52247.8580613598. The cubic root of 2729838672 is about 1397.5874558659.

The spelling of 2729838672 in words is "two billion, seven hundred twenty-nine million, eight hundred thirty-eight thousand, six hundred seventy-two".