2743200720 has 360 divisors, whose sum is σ = 10305158136. Its totient is φ = 649617408.

The previous prime is 2743200709. The next prime is 2743200721. The reversal of 2743200720 is 270023472.

2743200720 is a `hidden beast` number, since 274 + 320 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1310729616 + 1432471104 = 36204^2 + 37848^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743200721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30822436 + ... + 30822524.

Almost surely, 2^2743200720 is an apocalyptic number.

2743200720 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 2743200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152579068).

2743200720 is an abundant number, since it is smaller than the sum of its proper divisors (7561957416).

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

2743200720 is a wasteful number, since it uses less digits than its factorization.

2743200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2743200720 is about 52375.5736961420. The cubic root of 2743200720 is about 1399.8640548269.

The spelling of 2743200720 in words is "two billion, seven hundred forty-three million, two hundred thousand, seven hundred twenty".