2404054800 has 360 divisors, whose sum is σ = 10038375360. Its totient is φ = 520473600.

The previous prime is 2404054759. The next prime is 2404054801. The reversal of 2404054800 is 84504042.

2404054800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2404054801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476290 + ... + 481310.

It is an arithmetic number, because the mean of its divisors is an integer number (27884376).

Almost surely, 2^2404054800 is an apocalyptic number.

2404054800 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 2404054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019187680).

2404054800 is an abundant number, since it is smaller than the sum of its proper divisors (7634320560).

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

2404054800 is a wasteful number, since it uses less digits than its factorization.

2404054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2404054800 is about 49031.1615199966. The cubic root of 2404054800 is about 1339.6194805783.

Adding to 2404054800 its reverse (84504042), we get a palindrome (2488558842).

The spelling of 2404054800 in words is "two billion, four hundred four million, fifty-four thousand, eight hundred".