2412816000 has 512 divisors, whose sum is σ = 9409720320. Its totient is φ = 535449600.

The previous prime is 2412815983. The next prime is 2412816013. The reversal of 2412816000 is 6182142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447917 + ... + 14448083.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^2412816000 is an apocalyptic number.

2412816000 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 2412816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704860160).

2412816000 is an abundant number, since it is smaller than the sum of its proper divisors (6996904320).

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

2412816000 is a wasteful number, since it uses less digits than its factorization.

2412816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2412816000 is about 49120.4234509435. The cubic root of 2412816000 is about 1341.2448519441.

Adding to 2412816000 its reverse (6182142), we get a palindrome (2418998142).

The spelling of 2412816000 in words is "two billion, four hundred twelve million, eight hundred sixteen thousand".