2084998834080 has 768 divisors, whose sum is σ = 8209543104000. Its totient is φ = 491575246848.

The previous prime is 2084998834067. The next prime is 2084998834091. The reversal of 2084998834080 is 804388994802.

2084998834080 is a `hidden beast` number, since 20 + 8 + 49 + 98 + 83 + 408 + 0 = 666.

It is a super-2 number, since 2×2084998834080² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2084998833999 and 2084998834017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78787891 + ... + 78814349.

It is an arithmetic number, because the mean of its divisors is an integer number (10689509250).

Almost surely, 2^{2084998834080} is an apocalyptic number.

2084998834080 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 2084998834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104771552000).

2084998834080 is an abundant number, since it is smaller than the sum of its proper divisors (6124544269920).

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

2084998834080 is a wasteful number, since it uses less digits than its factorization.

2084998834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26566 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 2084998834080 in words is "two trillion, eighty-four billion, nine hundred ninety-eight million, eight hundred thirty-four thousand, eighty".