2442326400 has 288 divisors, whose sum is σ = 8792573400. Its totient is φ = 645488640.

The previous prime is 2442326387. The next prime is 2442326401. The reversal of 2442326400 is 46232442.

2442326400 is a `hidden beast` number, since 24 + 4 + 232 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442326401) 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, 3945291 + ... + 3945909.

Almost surely, 2^2442326400 is an apocalyptic number.

2442326400 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 2442326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396286700).

2442326400 is an abundant number, since it is smaller than the sum of its proper divisors (6350247000).

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

2442326400 is a wasteful number, since it uses less digits than its factorization.

2442326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2442326400 is about 49419.8988262825. The cubic root of 2442326400 is about 1346.6908250848.

Adding to 2442326400 its reverse (46232442), we get a palindrome (2488558842).

The spelling of 2442326400 in words is "two billion, four hundred forty-two million, three hundred twenty-six thousand, four hundred".