2006448624000 has 512 divisors, whose sum is σ = 7398182563200. Its totient is φ = 534491136000.

The previous prime is 2006448623951. The next prime is 2006448624109. The reversal of 2006448624000 is 4268446002.

It is a happy number.

2006448624000 is a `hidden beast` number, since 2 + 0 + 0 + 644 + 8 + 6 + 2 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560302210 + ... + 560305790.

Almost surely, 2^{2006448624000} is an apocalyptic number.

2006448624000 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 2006448624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699091281600).

2006448624000 is an abundant number, since it is smaller than the sum of its proper divisors (5391733939200).

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

2006448624000 is a wasteful number, since it uses less digits than its factorization.

2006448624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2006448624000 in words is "two trillion, six billion, four hundred forty-eight million, six hundred twenty-four thousand".