2729002752 has 252 divisors, whose sum is σ = 9338504560. Its totient is φ = 779341824.

The previous prime is 2729002751. The next prime is 2729002769. The reversal of 2729002752 is 2572009272.

It is a tau number, because it is divible by the number of its divisors (252).

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 (2729002751) 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 27 ways as a sum of consecutive naturals, for example, 1305324 + ... + 1307412.

Almost surely, 2^2729002752 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 2729002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669252280).

2729002752 is an abundant number, since it is smaller than the sum of its proper divisors (6609501808).

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

2729002752 is an frugal number, since it uses more digits than its factorization.

2729002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2729002752 is about 52239.8578864836. The cubic root of 2729002752 is about 1397.4447868031. Note that the first 3 decimals are identical.

The spelling of 2729002752 in words is "two billion, seven hundred twenty-nine million, two thousand, seven hundred fifty-two".