2418409224 has 320 divisors, whose sum is σ = 8893209600. Its totient is φ = 594864000.

The previous prime is 2418409223. The next prime is 2418409241. The reversal of 2418409224 is 4229048142.

2418409224 is a `hidden beast` number, since 24 + 1 + 8 + 409 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2418409223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946749 + ... + 949299.

It is an arithmetic number, because the mean of its divisors is an integer number (27791280).

Almost surely, 2^2418409224 is an apocalyptic number.

2418409224 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 2418409224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446604800).

2418409224 is an abundant number, since it is smaller than the sum of its proper divisors (6474800376).

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

2418409224 is a wasteful number, since it uses less digits than its factorization.

2418409224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2418409224 is about 49177.3242867076. The cubic root of 2418409224 is about 1342.2804459784.

The spelling of 2418409224 in words is "two billion, four hundred eighteen million, four hundred nine thousand, two hundred twenty-four".