2824198272 has 128 divisors (see below), whose sum is σ = 9526147200. Its totient is φ = 806906880.

The previous prime is 2824198261. The next prime is 2824198277. The reversal of 2824198272 is 2728914282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2824198277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34179 + ... + 82562.

It is an arithmetic number, because the mean of its divisors is an integer number (74423025).

Almost surely, 2^2824198272 is an apocalyptic number.

It is an amenable number.

2824198272 is an abundant number, since it is smaller than the sum of its proper divisors (6701948928).

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

2824198272 is a wasteful number, since it uses less digits than its factorization.

2824198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116771 (or 116753 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2824198272 is about 53143.1865058918. The cubic root of 2824198272 is about 1413.5084020309.

The spelling of 2824198272 in words is "two billion, eight hundred twenty-four million, one hundred ninety-eight thousand, two hundred seventy-two".