2813224500 has 96 divisors (see below), whose sum is σ = 9102387840. Its totient is φ = 750189600.

The previous prime is 2813224451. The next prime is 2813224501. The reversal of 2813224500 is 54223182.

2813224500 is a `hidden beast` number, since 2 + 8 + 132 + 24 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813224501) 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 31 ways as a sum of consecutive naturals, for example, 90694 + ... + 117693.

It is an arithmetic number, because the mean of its divisors is an integer number (94816540).

Almost surely, 2^2813224500 is an apocalyptic number.

2813224500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813224500 is an abundant number, since it is smaller than the sum of its proper divisors (6289163340).

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

2813224500 is a wasteful number, since it uses less digits than its factorization.

2813224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208415 (or 208397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2813224500 is about 53039.8388006600. The cubic root of 2813224500 is about 1411.6752383560.

Adding to 2813224500 its reverse (54223182), we get a palindrome (2867447682).

The spelling of 2813224500 in words is "two billion, eight hundred thirteen million, two hundred twenty-four thousand, five hundred".