2744084633472 has 384 divisors, whose sum is σ = 9744827252160. Its totient is φ = 721764089856.

The previous prime is 2744084633471. The next prime is 2744084633483. The reversal of 2744084633472 is 2743364804472.

2744084633472 is a `hidden beast` number, since 2 + 74 + 40 + 8 + 4 + 63 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744084633471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39067248 + ... + 39137424.

Almost surely, 2^{2744084633472} 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 2744084633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872413626080).

2744084633472 is an abundant number, since it is smaller than the sum of its proper divisors (7000742618688).

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

2744084633472 is a wasteful number, since it uses less digits than its factorization.

2744084633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70590 (or 70575 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 2744084633472 in words is "two trillion, seven hundred forty-four billion, eighty-four million, six hundred thirty-three thousand, four hundred seventy-two".