2730499200 has 1152 divisors, whose sum is σ = 12498753600. Its totient is φ = 575078400.

The previous prime is 2730499151. The next prime is 2730499207. The reversal of 2730499200 is 29940372.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (2730499207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160617592 + ... + 160617608.

Almost surely, 2^2730499200 is an apocalyptic number.

2730499200 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 2730499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249376800).

2730499200 is an abundant number, since it is smaller than the sum of its proper divisors (9768254400).

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

2730499200 is a wasteful number, since it uses less digits than its factorization.

2730499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2730499200 is about 52254.1787802660. The cubic root of 2730499200 is about 1397.7001696329.

The spelling of 2730499200 in words is "two billion, seven hundred thirty million, four hundred ninety-nine thousand, two hundred".