2663424000000 has 1071 divisors, whose sum is σ = 10216751274691. Its totient is φ = 668467200000.

The previous prime is 2663423999941. The next prime is 2663424000031. The reversal of 2663424000000 is 4243662.

The square root of 2663424000000 is 1632000.

It is a perfect power (a square), and thus also a powerful number.

2663424000000 is a `hidden beast` number, since 2 + 6 + 634 + 24 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2618493566976 + 44930433024 = 1618176^2 + 211968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 156671999992 + ... + 156672000008.

Almost surely, 2^{2663424000000} is an apocalyptic number.

2663424000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2663424000000 is the 1632000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663424000000

2663424000000 is an abundant number, since it is smaller than the sum of its proper divisors (7553327274691).

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

2663424000000 is an frugal number, since it uses more digits than its factorization.

2663424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

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

Adding to 2663424000000 its reverse (4243662), we get a palindrome (2663428243662).

The spelling of 2663424000000 in words is "two trillion, six hundred sixty-three billion, four hundred twenty-four million", and thus it is an aban number.