2421432000 has 504 divisors, whose sum is σ = 9426549600. Its totient is φ = 593049600.

The previous prime is 2421431977. The next prime is 2421432007. The reversal of 2421432000 is 2341242.

2421432000 is a `hidden beast` number, since 2 + 421 + 43 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421432007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12167901 + ... + 12168099.

Almost surely, 2^2421432000 is an apocalyptic number.

2421432000 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 2421432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713274800).

2421432000 is an abundant number, since it is smaller than the sum of its proper divisors (7005117600).

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

2421432000 is a wasteful number, since it uses less digits than its factorization.

2421432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2421432000 is about 49208.0481222330. The cubic root of 2421432000 is about 1342.8394530856.

Adding to 2421432000 its reverse (2341242), we get a palindrome (2423773242).

The spelling of 2421432000 in words is "two billion, four hundred twenty-one million, four hundred thirty-two thousand".