2081735846400 has 480 divisors, whose sum is σ = 7932857264640. Its totient is φ = 471371857920.

The previous prime is 2081735846357. The next prime is 2081735846423. The reversal of 2081735846400 is 46485371802.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2081735846400.

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 47 ways as a sum of consecutive naturals, for example, 28725411 + ... + 28797789.

It is an arithmetic number, because the mean of its divisors is an integer number (16526785968).

Almost surely, 2^{2081735846400} is an apocalyptic number.

2081735846400 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 2081735846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966428632320).

2081735846400 is an abundant number, since it is smaller than the sum of its proper divisors (5851121418240).

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

2081735846400 is a wasteful number, since it uses less digits than its factorization.

2081735846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72524 (or 72503 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 2081735846400 in words is "two trillion, eighty-one billion, seven hundred thirty-five million, eight hundred forty-six thousand, four hundred".