2084479567200 has 432 divisors, whose sum is σ = 7877298383136. Its totient is φ = 517321728000.

The previous prime is 2084479567189. The next prime is 2084479567207. The reversal of 2084479567200 is 27659744802.

2084479567200 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 4 + 79 + 567 + 2 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084479567207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5957100 + ... + 6297300.

It is an arithmetic number, because the mean of its divisors is an integer number (18234486998).

Almost surely, 2^{2084479567200} is an apocalyptic number.

2084479567200 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 2084479567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938649191568).

2084479567200 is an abundant number, since it is smaller than the sum of its proper divisors (5792818815936).

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

2084479567200 is a wasteful number, since it uses less digits than its factorization.

2084479567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340287 (or 340271 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2084479567200 in words is "two trillion, eighty-four billion, four hundred seventy-nine million, five hundred sixty-seven thousand, two hundred".