2404704000 has 288 divisors, whose sum is σ = 8215212096. Its totient is φ = 623001600.

The previous prime is 2404703999. The next prime is 2404704013. The reversal of 2404704000 is 4074042.

It is a super-3 number, since 3×2404704000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3551662 + ... + 3552338.

It is an arithmetic number, because the mean of its divisors is an integer number (28525042).

Almost surely, 2^2404704000 is an apocalyptic number.

2404704000 is a gapful number since it is divisible by the number (20) 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 2404704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107606048).

2404704000 is an abundant number, since it is smaller than the sum of its proper divisors (5810508096).

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

2404704000 is an equidigital number, since it uses as much as digits as its factorization.

2404704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2404704000 is about 49037.7813527488. The cubic root of 2404704000 is about 1339.7400550198.

Adding to 2404704000 its reverse (4074042), we get a palindrome (2408778042).

It can be divided in two parts, 240 and 4704000, that multiplied together give a square (1128960000 = 33600²).

The spelling of 2404704000 in words is "two billion, four hundred four million, seven hundred four thousand".