2743403324256 has 288 divisors, whose sum is σ = 9318643850880. Its totient is φ = 782931163392.

The previous prime is 2743403324219. The next prime is 2743403324281. The reversal of 2743403324256 is 6524233043472.

2743403324256 is a `hidden beast` number, since 2 + 7 + 4 + 340 + 33 + 24 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37345995 + ... + 37419381.

It is an arithmetic number, because the mean of its divisors is an integer number (32356402260).

Almost surely, 2^{2743403324256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2743403324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659321925440).

2743403324256 is an abundant number, since it is smaller than the sum of its proper divisors (6575240526624).

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

2743403324256 is a wasteful number, since it uses less digits than its factorization.

2743403324256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74303 (or 74282 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 2743403324256 in words is "two trillion, seven hundred forty-three billion, four hundred three million, three hundred twenty-four thousand, two hundred fifty-six".