2421224000 has 224 divisors, whose sum is σ = 6674583552. Its totient is φ = 864000000.

The previous prime is 2421223951. The next prime is 2421224009. The reversal of 2421224000 is 4221242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2421224000.

It is not an unprimeable number, because it can be changed into a prime (2421224009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3223625 + ... + 3224375.

It is an arithmetic number, because the mean of its divisors is an integer number (29797248).

Almost surely, 2^2421224000 is an apocalyptic number.

2421224000 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 2421224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337291776).

2421224000 is an abundant number, since it is smaller than the sum of its proper divisors (4253359552).

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

2421224000 is a wasteful number, since it uses less digits than its factorization.

2421224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2421224000 is about 49205.9346014279. The cubic root of 2421224000 is about 1342.8010022015.

Adding to 2421224000 its reverse (4221242), we get a palindrome (2425445242).

The spelling of 2421224000 in words is "two billion, four hundred twenty-one million, two hundred twenty-four thousand".