2404007424 has 600 divisors, whose sum is σ = 9060915600. Its totient is φ = 634023936.

The previous prime is 2404007423. The next prime is 2404007447. The reversal of 2404007424 is 4247004042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404007423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 184923642 + ... + 184923654.

It is an arithmetic number, because the mean of its divisors is an integer number (15101526).

Almost surely, 2^2404007424 is an apocalyptic number.

2404007424 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 2404007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530457800).

2404007424 is an abundant number, since it is smaller than the sum of its proper divisors (6656908176).

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

2404007424 is an frugal number, since it uses more digits than its factorization.

2404007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2404007424 is about 49030.6783962857. The cubic root of 2404007424 is about 1339.6106806916.

The spelling of 2404007424 in words is "two billion, four hundred four million, seven thousand, four hundred twenty-four".