2083985729280 has 3456 divisors, whose sum is σ = 10043573170176. Its totient is φ = 401316249600.

The previous prime is 2083985729269. The next prime is 2083985729363. The reversal of 2083985729280 is 829275893802.

2083985729280 is a `hidden beast` number, since 2 + 0 + 8 + 39 + 8 + 572 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29351911645 + ... + 29351911715.

It is an arithmetic number, because the mean of its divisors is an integer number (2906126496).

Almost surely, 2^{2083985729280} is an apocalyptic number.

2083985729280 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 2083985729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021786585088).

2083985729280 is an abundant number, since it is smaller than the sum of its proper divisors (7959587440896).

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

2083985729280 is a wasteful number, since it uses less digits than its factorization.

2083985729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2083985729280 in words is "two trillion, eighty-three billion, nine hundred eighty-five million, seven hundred twenty-nine thousand, two hundred eighty".