2081435664000 has 2048 divisors, whose sum is σ = 9210038722560. Its totient is φ = 402554880000.

The previous prime is 2081435663971. The next prime is 2081435664067. The reversal of 2081435664000 is 4665341802.

It is a super-2 number, since 2×2081435664000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2081435664000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9864623895 + ... + 9864624105.

It is an arithmetic number, because the mean of its divisors is an integer number (4497089220).

Almost surely, 2^{2081435664000} is an apocalyptic number.

2081435664000 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 2081435664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605019361280).

2081435664000 is an abundant number, since it is smaller than the sum of its proper divisors (7128603058560).

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

2081435664000 is a wasteful number, since it uses less digits than its factorization.

2081435664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2081435664000 in words is "two trillion, eighty-one billion, four hundred thirty-five million, six hundred sixty-four thousand".