2084675204832 has 384 divisors, whose sum is σ = 6429734277120. Its totient is φ = 585119293440.

The previous prime is 2084675204803. The next prime is 2084675204849. The reversal of 2084675204832 is 2384025764802.

It is a happy number.

It is a super-2 number, since 2×2084675204832² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 95999608 + ... + 96021320.

It is an arithmetic number, because the mean of its divisors is an integer number (16744099680).

Almost surely, 2^{2084675204832} is an apocalyptic number.

2084675204832 is a gapful number since it is divisible by the number (22) 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 2084675204832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214867138560).

2084675204832 is an abundant number, since it is smaller than the sum of its proper divisors (4345059072288).

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

2084675204832 is a wasteful number, since it uses less digits than its factorization.

2084675204832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21886 (or 21878 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 2084675204832 in words is "two trillion, eighty-four billion, six hundred seventy-five million, two hundred four thousand, eight hundred thirty-two".