2744000000 has 280 divisors, whose sum is σ = 7992085200. Its totient is φ = 940800000.

The previous prime is 2743999997. The next prime is 2744000009. The reversal of 2744000000 is 4472.

The cubic root of 2744000000 is 1400.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 391999997 + ... + 392000003.

Almost surely, 2^2744000000 is an apocalyptic number.

2744000000 is a gapful number since it is divisible by the number (20) 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 2744000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996042600).

2744000000 is an abundant number, since it is smaller than the sum of its proper divisors (5248085200).

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

2744000000 is an frugal number, since it uses more digits than its factorization.

2744000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2744000000 is about 52383.2034148352.

Multiplying 2744000000 by its product of nonzero digits (224), we get a square (614656000000 = 784000²).

2744000000 divided by its product of nonzero digits (224) gives a square (12250000 = 3500²).

Adding to 2744000000 its reverse (4472), we get a palindrome (2744004472).

The spelling of 2744000000 in words is "two billion, seven hundred forty-four million", and thus it is an aban number.