2420200224 has 72 divisors (see below), whose sum is σ = 7411874652. Its totient is φ = 744675840.

The previous prime is 2420200169. The next prime is 2420200247. The reversal of 2420200224 is 4220020242.

2420200224 is a `hidden beast` number, since 2 + 420 + 20 + 0 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2407668624 + 12531600 = 49068^2 + 3540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2420200197 and 2420200206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319467 + ... + 326954.

Almost surely, 2^2420200224 is an apocalyptic number.

2420200224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420200224 is an abundant number, since it is smaller than the sum of its proper divisors (4991674428).

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

2420200224 is a wasteful number, since it uses less digits than its factorization.

2420200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646450 (or 646439 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2420200224 is about 49195.5305286974. The cubic root of 2420200224 is about 1342.6117148486.

Adding to 2420200224 its reverse (4220020242), we get a palindrome (6640220466).

The spelling of 2420200224 in words is "two billion, four hundred twenty million, two hundred thousand, two hundred twenty-four".