2743713840 has 240 divisors, whose sum is σ = 9956550240. Its totient is φ = 623185920.

The previous prime is 2743713839. The next prime is 2743713853. The reversal of 2743713840 is 483173472.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2127916 + ... + 2129204.

It is an arithmetic number, because the mean of its divisors is an integer number (41485626).

Almost surely, 2^2743713840 is an apocalyptic number.

2743713840 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 2743713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978275120).

2743713840 is an abundant number, since it is smaller than the sum of its proper divisors (7212836400).

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

2743713840 is a wasteful number, since it uses less digits than its factorization.

2743713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2743713840 is about 52380.4719337274. The cubic root of 2743713840 is about 1399.9513316415.

The spelling of 2743713840 in words is "two billion, seven hundred forty-three million, seven hundred thirteen thousand, eight hundred forty".