2420224224 has 192 divisors, whose sum is σ = 7160203008. Its totient is φ = 709529600.

The previous prime is 2420224223. The next prime is 2420224229. The reversal of 2420224224 is 4224220242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2420224194 and 2420224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420224223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645084 + ... + 4645604.

It is an arithmetic number, because the mean of its divisors is an integer number (37292724).

Almost surely, 2^2420224224 is an apocalyptic number.

2420224224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580101504).

2420224224 is an abundant number, since it is smaller than the sum of its proper divisors (4739978784).

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

2420224224 is a wasteful number, since it uses less digits than its factorization.

2420224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2420224224 is about 49195.7744526905. The cubic root of 2420224224 is about 1342.6161528526.

Adding to 2420224224 its reverse (4224220242), we get a palindrome (6644444466).

The spelling of 2420224224 in words is "two billion, four hundred twenty million, two hundred twenty-four thousand, two hundred twenty-four".