2742184320 has 256 divisors, whose sum is σ = 9577310400. Its totient is φ = 664272896.

The previous prime is 2742184283. The next prime is 2742184321. The reversal of 2742184320 is 234812472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742184321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945112 + ... + 948008.

Almost surely, 2^2742184320 is an apocalyptic number.

2742184320 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 2742184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788655200).

2742184320 is an abundant number, since it is smaller than the sum of its proper divisors (6835126080).

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

2742184320 is a wasteful number, since it uses less digits than its factorization.

2742184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2742184320 is about 52365.8698008541. The cubic root of 2742184320 is about 1399.6911427517.

Adding to 2742184320 its reverse (234812472), we get a palindrome (2976996792).

The spelling of 2742184320 in words is "two billion, seven hundred forty-two million, one hundred eighty-four thousand, three hundred twenty".