2421964800 has 450 divisors, whose sum is σ = 9095267258. Its totient is φ = 637009920.

The previous prime is 2421964793. The next prime is 2421964829. The reversal of 2421964800 is 84691242.

2421964800 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 9 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 2230861824 = 13824^2 + 47232^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177564 + ... + 33177636.

Almost surely, 2^2421964800 is an apocalyptic number.

2421964800 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 2421964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547633629).

2421964800 is an abundant number, since it is smaller than the sum of its proper divisors (6673302458).

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

2421964800 is an frugal number, since it uses more digits than its factorization.

2421964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2421964800 is about 49213.4615730290. The cubic root of 2421964800 is about 1342.9379364612.

The spelling of 2421964800 in words is "two billion, four hundred twenty-one million, nine hundred sixty-four thousand, eight hundred".