2081164001280 has 2304 divisors, whose sum is σ = 9247770725760. Its totient is φ = 395304763392.

The previous prime is 2081164001261. The next prime is 2081164001311. The reversal of 2081164001280 is 821004611802.

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 143 ways as a sum of consecutive naturals, for example, 90485391349 + ... + 90485391371.

Almost surely, 2^{2081164001280} is an apocalyptic number.

2081164001280 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 2081164001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623885362880).

2081164001280 is an abundant number, since it is smaller than the sum of its proper divisors (7166606724480).

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

2081164001280 is a wasteful number, since it uses less digits than its factorization.

2081164001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 2081164001280 in words is "two trillion, eighty-one billion, one hundred sixty-four million, one thousand, two hundred eighty".