2742329280 has 336 divisors, whose sum is σ = 9462174624. Its totient is φ = 672399360.

The previous prime is 2742329267. The next prime is 2742329281. The reversal of 2742329280 is 829232472.

2742329280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742329281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14208864 + ... + 14209056.

It is an arithmetic number, because the mean of its divisors is an integer number (28161234).

Almost surely, 2^2742329280 is an apocalyptic number.

2742329280 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 2742329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731087312).

2742329280 is an abundant number, since it is smaller than the sum of its proper divisors (6719845344).

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

2742329280 is a wasteful number, since it uses less digits than its factorization.

2742329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2742329280 is about 52367.2538901936. The cubic root of 2742329280 is about 1399.7158062594.

The spelling of 2742329280 in words is "two billion, seven hundred forty-two million, three hundred twenty-nine thousand, two hundred eighty".