2446204400 has 120 divisors (see below), whose sum is σ = 6304083120. Its totient is φ = 909342720.

The previous prime is 2446204391. The next prime is 2446204403. The reversal of 2446204400 is 44026442.

2446204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2446204400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2446204403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399764 + ... + 405836.

It is an arithmetic number, because the mean of its divisors is an integer number (52534026).

Almost surely, 2^2446204400 is an apocalyptic number.

2446204400 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 2446204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152041560).

2446204400 is an abundant number, since it is smaller than the sum of its proper divisors (3857878720).

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

2446204400 is a wasteful number, since it uses less digits than its factorization.

2446204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2446204400 is about 49459.1184717237. The cubic root of 2446204400 is about 1347.4032203547.

The spelling of 2446204400 in words is "two billion, four hundred forty-six million, two hundred four thousand, four hundred".