2001082606800 has 480 divisors, whose sum is σ = 7173826560000. Its totient is φ = 474426501120.

The previous prime is 2001082606769. The next prime is 2001082606801. The reversal of 2001082606800 is 86062801002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001082606801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27757201 + ... + 27829199.

It is an arithmetic number, because the mean of its divisors is an integer number (14945472000).

Almost surely, 2^{2001082606800} is an apocalyptic number.

2001082606800 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 2001082606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586913280000).

2001082606800 is an abundant number, since it is smaller than the sum of its proper divisors (5172743953200).

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

2001082606800 is a wasteful number, since it uses less digits than its factorization.

2001082606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72115 (or 72104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 2001082606800 in words is "two trillion, one billion, eighty-two million, six hundred six thousand, eight hundred".