2082894876000 has 288 divisors, whose sum is σ = 7827031150848. Its totient is φ = 522765619200.

The previous prime is 2082894875993. The next prime is 2082894876031. The reversal of 2082894876000 is 6784982802.

2082894876000 is a `hidden beast` number, since 2 + 0 + 8 + 28 + 9 + 4 + 8 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089712 + ... + 2313711.

It is an arithmetic number, because the mean of its divisors is an integer number (27177191496).

Almost surely, 2^{2082894876000} is an apocalyptic number.

2082894876000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082894876000 is an abundant number, since it is smaller than the sum of its proper divisors (5744136274848).

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

2082894876000 is a wasteful number, since it uses less digits than its factorization.

2082894876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403471 (or 3403450 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2082894876000 in words is "two trillion, eighty-two billion, eight hundred ninety-four million, eight hundred seventy-six thousand".