2404312400 has 180 divisors, whose sum is σ = 6760577340. Its totient is φ = 819302400.

The previous prime is 2404312369. The next prime is 2404312403. The reversal of 2404312400 is 42134042.

2404312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 60590656 + 2343721744 = 7784^2 + 48412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404312403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4723346 + ... + 4723854.

It is an arithmetic number, because the mean of its divisors is an integer number (37558763).

Almost surely, 2^2404312400 is an apocalyptic number.

2404312400 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 2404312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380288670).

2404312400 is an abundant number, since it is smaller than the sum of its proper divisors (4356264940).

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

2404312400 is a wasteful number, since it uses less digits than its factorization.

2404312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2404312400 is about 49033.7883504834. The cubic root of 2404312400 is about 1339.6673266387.

Adding to 2404312400 its reverse (42134042), we get a palindrome (2446446442).

The spelling of 2404312400 in words is "two billion, four hundred four million, three hundred twelve thousand, four hundred".