2729500032 has 128 divisors (see below), whose sum is σ = 8302440960. Its totient is φ = 778309632.

The previous prime is 2729500031. The next prime is 2729500057. The reversal of 2729500032 is 2300059272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729500031) by changing a digit.

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, 2641788 + ... + 2642820.

It is an arithmetic number, because the mean of its divisors is an integer number (64862820).

Almost surely, 2^2729500032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151220480).

2729500032 is an abundant number, since it is smaller than the sum of its proper divisors (5572940928).

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

2729500032 is a wasteful number, since it uses less digits than its factorization.

2729500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2729500032 is about 52244.6172538377. The cubic root of 2729500032 is about 1397.5296626353.

The spelling of 2729500032 in words is "two billion, seven hundred twenty-nine million, five hundred thousand, thirty-two".