2084963328000 has 2688 divisors, whose sum is σ = 9556452921600. Its totient is φ = 451480780800.

The previous prime is 2084963327933. The next prime is 2084963328053. The reversal of 2084963328000 is 8233694802.

2084963328000 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 9 + 633 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 109734911991 + ... + 109734912009.

Almost surely, 2^{2084963328000} is an apocalyptic number.

2084963328000 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 2084963328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778226460800).

2084963328000 is an abundant number, since it is smaller than the sum of its proper divisors (7471489593600).

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

2084963328000 is an frugal number, since it uses more digits than its factorization.

2084963328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2084963328000 in words is "two trillion, eighty-four billion, nine hundred sixty-three million, three hundred twenty-eight thousand".