2663424000 has 504 divisors, whose sum is σ = 10199990268. Its totient is φ = 668467200.

The previous prime is 2663423969. The next prime is 2663424007. The reversal of 2663424000 is 4243662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2663424000 is a `hidden beast` number, since 2 + 6 + 634 + 24 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 557715456 + 2105708544 = 23616^2 + 45888^2 .

It is not an unprimeable number, because it can be changed into a prime (2663424007) 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, 156671992 + ... + 156672008.

Almost surely, 2^2663424000 is an apocalyptic number.

2663424000 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 2663424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099995134).

2663424000 is an abundant number, since it is smaller than the sum of its proper divisors (7536566268).

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

2663424000 is an equidigital number, since it uses as much as digits as its factorization.

2663424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2663424000 is about 51608.3714139480. The cubic root of 2663424000 is about 1386.1602358424.

Adding to 2663424000 its reverse (4243662), we get a palindrome (2667667662).

The spelling of 2663424000 in words is "two billion, six hundred sixty-three million, four hundred twenty-four thousand".