2404943424 has 168 divisors, whose sum is σ = 7451491320. Its totient is φ = 737206272.

The previous prime is 2404943413. The next prime is 2404943447. The reversal of 2404943424 is 4243494042.

It can be written as a sum of positive squares in 4 ways, for example, as 553190400 + 1851753024 = 23520^2 + 43032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2972332 + ... + 2973140.

It is an arithmetic number, because the mean of its divisors is an integer number (44354115).

Almost surely, 2^2404943424 is an apocalyptic number.

2404943424 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 2404943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725745660).

2404943424 is an abundant number, since it is smaller than the sum of its proper divisors (5046547896).

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

2404943424 is a wasteful number, since it uses less digits than its factorization.

2404943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2404943424 is about 49040.2225117301. Note that the first 3 decimals coincide. The cubic root of 2404943424 is about 1339.7845172180.

The spelling of 2404943424 in words is "two billion, four hundred four million, nine hundred forty-three thousand, four hundred twenty-four".