2743200000 has 432 divisors, whose sum is σ = 10219345920. Its totient is φ = 725760000.

The previous prime is 2743199999. The next prime is 2743200113. The reversal of 2743200000 is 23472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 21599937 + ... + 21600063.

Almost surely, 2^2743200000 is an apocalyptic number.

2743200000 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 2743200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109672960).

2743200000 is an abundant number, since it is smaller than the sum of its proper divisors (7476145920).

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

2743200000 is an frugal number, since it uses more digits than its factorization.

2743200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2743200000 is about 52375.5668227085. The cubic root of 2743200000 is about 1399.8639323541.

Adding to 2743200000 its reverse (23472), we get a palindrome (2743223472).

The spelling of 2743200000 in words is "two billion, seven hundred forty-three million, two hundred thousand".