2744444472 has 128 divisors (see below), whose sum is σ = 8699443200. Its totient is φ = 700732800.

The previous prime is 2744444471. The next prime is 2744444489.

2744444472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744444471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96447 + ... + 121617.

It is an arithmetic number, because the mean of its divisors is an integer number (67964400).

Almost surely, 2^2744444472 is an apocalyptic number.

2744444472 is a gapful number since it is divisible by the number (22) 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 2744444472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349721600).

2744444472 is an abundant number, since it is smaller than the sum of its proper divisors (5954998728).

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

2744444472 is a wasteful number, since it uses less digits than its factorization.

2744444472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25257 (or 25253 counting only the distinct ones).

The product of its digits is 802816, while the sum is 42.

The square root of 2744444472 is about 52387.4457480034. The cubic root of 2744444472 is about 1400.0755863952.

The spelling of 2744444472 in words is "two billion, seven hundred forty-four million, four hundred forty-four thousand, four hundred seventy-two".