2406124224 has 336 divisors, whose sum is σ = 8326587360. Its totient is φ = 679311360.

The previous prime is 2406124181. The next prime is 2406124243. The reversal of 2406124224 is 4224216042.

2406124224 is a `hidden beast` number, since 2 + 4 + 0 + 612 + 42 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13293414 + ... + 13293594.

It is an arithmetic number, because the mean of its divisors is an integer number (24781510).

Almost surely, 2^2406124224 is an apocalyptic number.

2406124224 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 2406124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163293680).

2406124224 is an abundant number, since it is smaller than the sum of its proper divisors (5920463136).

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

2406124224 is a wasteful number, since it uses less digits than its factorization.

2406124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2406124224 is about 49052.2601314149. The cubic root of 2406124224 is about 1340.0037543520.

The spelling of 2406124224 in words is "two billion, four hundred six million, one hundred twenty-four thousand, two hundred twenty-four".