2006441902080 has 3240 divisors, whose sum is σ = 9765361320624. Its totient is φ = 392398110720.

The previous prime is 2006441902067. The next prime is 2006441902103. The reversal of 2006441902080 is 802091446002.

2006441902080 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 441 + 9 + 0 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118025994232 + ... + 118025994248.

Almost surely, 2^{2006441902080} is an apocalyptic number.

2006441902080 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 2006441902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882680660312).

2006441902080 is an abundant number, since it is smaller than the sum of its proper divisors (7758919418544).

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

2006441902080 is an equidigital number, since it uses as much as digits as its factorization.

2006441902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 45 counting only the distinct ones).

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

The spelling of 2006441902080 in words is "two trillion, six billion, four hundred forty-one million, nine hundred two thousand, eighty".