2744384144 has 80 divisors (see below), whose sum is σ = 5712491520. Its totient is φ = 1274810880.

The previous prime is 2744384131. The next prime is 2744384161. The reversal of 2744384144 is 4414834472.

2744384144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2744384144² = 15063288659677225472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329257 + ... + 1331319.

It is an arithmetic number, because the mean of its divisors is an integer number (71406144).

Almost surely, 2^2744384144 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 2744384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856245760).

2744384144 is an abundant number, since it is smaller than the sum of its proper divisors (2968107376).

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

2744384144 is a wasteful number, since it uses less digits than its factorization.

With its successor (2744384145) it forms an eRAP, since the sums of their prime factors are consecutive (2208 and 2209).

2744384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its digits is 344064, while the sum is 41.

The square root of 2744384144 is about 52386.8699580343. The cubic root of 2744384144 is about 1400.0653275638.

The spelling of 2744384144 in words is "two billion, seven hundred forty-four million, three hundred eighty-four thousand, one hundred forty-four".