2120500224 has 66 divisors (see below), whose sum is σ = 6122924990. Its totient is φ = 706830336.

The previous prime is 2120500211. The next prime is 2120500259. The reversal of 2120500224 is 4220050212.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 926106624 = 34560^2 + 30432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120500197 and 2120500206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105829 + ... + 124260.

Almost surely, 2^2120500224 is an apocalyptic number.

2120500224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120500224 is an abundant number, since it is smaller than the sum of its proper divisors (4002424766).

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

2120500224 is a wasteful number, since it uses less digits than its factorization.

2120500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230115 (or 230094 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2120500224 is about 46048.8894980107. The cubic root of 2120500224 is about 1284.7326880664.

Adding to 2120500224 its reverse (4220050212), we get a palindrome (6340550436).

The spelling of 2120500224 in words is "two billion, one hundred twenty million, five hundred thousand, two hundred twenty-four".