2743303680 has 640 divisors, whose sum is σ = 10889303040. Its totient is φ = 650280960.

The previous prime is 2743303663. The next prime is 2743303687. The reversal of 2743303680 is 863033472.

2743303680 is a `hidden beast` number, since 274 + 3 + 303 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (2743303687) 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 63 ways as a sum of consecutive naturals, for example, 38638045 + ... + 38638115.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 2^2743303680 is an apocalyptic number.

2743303680 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 2743303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

2743303680 is an abundant number, since it is smaller than the sum of its proper divisors (8145999360).

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

2743303680 is a wasteful number, since it uses less digits than its factorization.

2743303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2743303680 is about 52376.5565878476. The cubic root of 2743303680 is about 1399.8815682129.

The spelling of 2743303680 in words is "two billion, seven hundred forty-three million, three hundred three thousand, six hundred eighty".