2083580928000 has 3584 divisors, whose sum is σ = 9892584898560. Its totient is φ = 424673280000.

The previous prime is 2083580927993. The next prime is 2083580928019. The reversal of 2083580928000 is 8290853802.

2083580928000 is a `hidden beast` number, since 208 + 358 + 0 + 92 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67212287985 + ... + 67212288015.

It is an arithmetic number, because the mean of its divisors is an integer number (2760207840).

Almost surely, 2^{2083580928000} is an apocalyptic number.

2083580928000 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 2083580928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946292449280).

2083580928000 is an abundant number, since it is smaller than the sum of its proper divisors (7809003970560).

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

2083580928000 is a wasteful number, since it uses less digits than its factorization.

2083580928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2083580928000 in words is "two trillion, eighty-three billion, five hundred eighty million, nine hundred twenty-eight thousand".