2084900727312 has 720 divisors, whose sum is σ = 6816506424000. Its totient is φ = 613308423168.

The previous prime is 2084900727271. The next prime is 2084900727419. The reversal of 2084900727312 is 2137270094802.

2084900727312 is a `hidden beast` number, since 20 + 8 + 490 + 0 + 72 + 73 + 1 + 2 = 666.

It is a super-2 number, since 2×2084900727312² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5501057139 + ... + 5501057517.

Almost surely, 2^{2084900727312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084900727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408253212000).

2084900727312 is an abundant number, since it is smaller than the sum of its proper divisors (4731605696688).

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

2084900727312 is a wasteful number, since it uses less digits than its factorization.

2084900727312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2084900727312 in words is "two trillion, eighty-four billion, nine hundred million, seven hundred twenty-seven thousand, three hundred twelve".