2743505856 has 448 divisors, whose sum is σ = 10104729600. Its totient is φ = 710664192.

The previous prime is 2743505851. The next prime is 2743505873. The reversal of 2743505856 is 6585053472.

2743505856 is a `hidden beast` number, since 27 + 43 + 5 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743505851) 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, 11478985 + ... + 11479223.

It is an arithmetic number, because the mean of its divisors is an integer number (22555200).

Almost surely, 2^2743505856 is an apocalyptic number.

2743505856 is a gapful number since it is divisible by the number (26) 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 2743505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052364800).

2743505856 is an abundant number, since it is smaller than the sum of its proper divisors (7361223744).

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

2743505856 is a wasteful number, since it uses less digits than its factorization.

2743505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2743505856 is about 52378.4865760743. The cubic root of 2743505856 is about 1399.9159568597.

The spelling of 2743505856 in words is "two billion, seven hundred forty-three million, five hundred five thousand, eight hundred fifty-six".