2729812800 has 672 divisors, whose sum is σ = 10889553024. Its totient is φ = 589824000.

The previous prime is 2729812741. The next prime is 2729812801. The reversal of 2729812800 is 82189272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729812801) 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 95 ways as a sum of consecutive naturals, for example, 28142352 + ... + 28142448.

It is an arithmetic number, because the mean of its divisors is an integer number (16204692).

Almost surely, 2^2729812800 is an apocalyptic number.

2729812800 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 2729812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444776512).

2729812800 is an abundant number, since it is smaller than the sum of its proper divisors (8159740224).

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

2729812800 is a wasteful number, since it uses less digits than its factorization.

2729812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2729812800 is about 52247.6104716761. The cubic root of 2729812800 is about 1397.5830406481.

The spelling of 2729812800 in words is "two billion, seven hundred twenty-nine million, eight hundred twelve thousand, eight hundred".