2744842464 has 384 divisors, whose sum is σ = 9998069760. Its totient is φ = 722234880.

The previous prime is 2744842411. The next prime is 2744842483. The reversal of 2744842464 is 4642484472.

2744842464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6368329 + ... + 6368759.

It is an arithmetic number, because the mean of its divisors is an integer number (26036640).

Almost surely, 2^2744842464 is an apocalyptic number.

2744842464 is a gapful number since it is divisible by the number (24) 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 2744842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999034880).

2744842464 is an abundant number, since it is smaller than the sum of its proper divisors (7253227296).

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

2744842464 is an equidigital number, since it uses as much as digits as its factorization.

2744842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 45.

The square root of 2744842464 is about 52391.2441539615. The cubic root of 2744842464 is about 1400.1432615301.

The spelling of 2744842464 in words is "two billion, seven hundred forty-four million, eight hundred forty-two thousand, four hundred sixty-four".