2741824272 has 80 divisors (see below), whose sum is σ = 7739290368. Its totient is φ = 829530240.

The previous prime is 2741824231. The next prime is 2741824303. The reversal of 2741824272 is 2724281472.

It is a self number, because there is not a number n which added to its sum of digits gives 2741824272.

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, 356823 + ... + 364425.

Almost surely, 2^2741824272 is an apocalyptic number.

2741824272 is a gapful number since it is divisible by the number (22) 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 2741824272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869645184).

2741824272 is an abundant number, since it is smaller than the sum of its proper divisors (4997466096).

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

2741824272 is a wasteful number, since it uses less digits than its factorization.

2741824272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8302 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 2741824272 is about 52362.4318762985. The cubic root of 2741824272 is about 1399.6298803910.

The spelling of 2741824272 in words is "two billion, seven hundred forty-one million, eight hundred twenty-four thousand, two hundred seventy-two".