2744117257672 has 128 divisors (see below), whose sum is σ = 6575201740800. Its totient is φ = 1045196669952.

The previous prime is 2744117257663. The next prime is 2744117257697. The reversal of 2744117257672 is 2767527114472.

2744117257672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5305933 + ... + 5800099.

It is an arithmetic number, because the mean of its divisors is an integer number (51368763600).

Almost surely, 2^{2744117257672} 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 2744117257672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287600870400).

2744117257672 is an abundant number, since it is smaller than the sum of its proper divisors (3831084483128).

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

2744117257672 is a wasteful number, since it uses less digits than its factorization.

2744117257672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494523 (or 494519 counting only the distinct ones).

The product of its digits is 9219840, while the sum is 55.

The spelling of 2744117257672 in words is "two trillion, seven hundred forty-four billion, one hundred seventeen million, two hundred fifty-seven thousand, six hundred seventy-two".