2083987825920 has 1728 divisors, whose sum is σ = 9764156473344. Its totient is φ = 396299796480.

The previous prime is 2083987825849. The next prime is 2083987825949. The reversal of 2083987825920 is 295287893802.

2083987825920 is a `hidden beast` number, since 2 + 0 + 8 + 39 + 8 + 7 + 8 + 2 + 592 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1464502329 + ... + 1464503751.

Almost surely, 2^{2083987825920} is an apocalyptic number.

2083987825920 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 2083987825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882078236672).

2083987825920 is an abundant number, since it is smaller than the sum of its proper divisors (7680168647424).

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

2083987825920 is a wasteful number, since it uses less digits than its factorization.

2083987825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

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

The spelling of 2083987825920 in words is "two trillion, eighty-three billion, nine hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred twenty".