2729409120 has 144 divisors (see below), whose sum is σ = 9332865360. Its totient is φ = 726377472.

The previous prime is 2729409077. The next prime is 2729409127. The reversal of 2729409120 is 219049272.

2729409120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729409127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843666 + ... + 846894.

It is an arithmetic number, because the mean of its divisors is an integer number (64811565).

Almost surely, 2^2729409120 is an apocalyptic number.

2729409120 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 2729409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666432680).

2729409120 is an abundant number, since it is smaller than the sum of its proper divisors (6603456240).

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

2729409120 is a wasteful number, since it uses less digits than its factorization.

2729409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2729409120 is about 52243.7471856681. The cubic root of 2729409120 is about 1397.5141465302.

The spelling of 2729409120 in words is "two billion, seven hundred twenty-nine million, four hundred nine thousand, one hundred twenty".