2744117305056 has 72 divisors (see below), whose sum is σ = 7803958485960. Its totient is φ = 914661824256.

The previous prime is 2744117305037. The next prime is 2744117305057. The reversal of 2744117305056 is 6505037114472.

2744117305056 is a `hidden beast` number, since 2 + 74 + 4 + 1 + 1 + 73 + 0 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744117305057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6077446 + ... + 6513338.

It is an arithmetic number, because the mean of its divisors is an integer number (108388312305).

Almost surely, 2^{2744117305056} is an apocalyptic number.

It is an amenable number.

2744117305056 is an abundant number, since it is smaller than the sum of its proper divisors (5059841180904).

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

2744117305056 is a wasteful number, since it uses less digits than its factorization.

2744117305056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457768 (or 457757 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2744117305056 in words is "two trillion, seven hundred forty-four billion, one hundred seventeen million, three hundred five thousand, fifty-six".