2547824272 has 80 divisors (see below), whose sum is σ = 5984831232. Its totient is φ = 1025740800.

The previous prime is 2547824267. The next prime is 2547824273. The reversal of 2547824272 is 2724287452.

It is not an unprimeable number, because it can be changed into a prime (2547824273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413772 + ... + 1415572.

Almost surely, 2^2547824272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2547824272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992415616).

2547824272 is an abundant number, since it is smaller than the sum of its proper divisors (3437006960).

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

2547824272 is a wasteful number, since it uses less digits than its factorization.

2547824272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2570 counting only the distinct ones).

The product of its digits is 501760, while the sum is 43.

The square root of 2547824272 is about 50475.9771772672. The cubic root of 2547824272 is about 1365.8085388553.

The spelling of 2547824272 in words is "two billion, five hundred forty-seven million, eight hundred twenty-four thousand, two hundred seventy-two".