2729450304 has 448 divisors, whose sum is σ = 9831628800. Its totient is φ = 725760000.

The previous prime is 2729450293. The next prime is 2729450341. The reversal of 2729450304 is 4030549272.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10874179 + ... + 10874429.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^2729450304 is an apocalyptic number.

2729450304 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 2729450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2729450304 is an abundant number, since it is smaller than the sum of its proper divisors (7102178496).

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

2729450304 is a wasteful number, since it uses less digits than its factorization.

2729450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2729450304 is about 52244.1413366130. The cubic root of 2729450304 is about 1397.5211755160.

Adding to 2729450304 its reverse (4030549272), we get a palindrome (6759999576).

The spelling of 2729450304 in words is "two billion, seven hundred twenty-nine million, four hundred fifty thousand, three hundred four".