2083041792000 has 1664 divisors, whose sum is σ = 8466574072320. Its totient is φ = 502176153600.

The previous prime is 2083041791947. The next prime is 2083041792053. The reversal of 2083041792000 is 2971403802.

2083041792000 is a `hidden beast` number, since 2 + 0 + 8 + 30 + 417 + 9 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2083041791947) and next prime (2083041792053).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12040703914 + ... + 12040704086.

It is an arithmetic number, because the mean of its divisors is an integer number (5088085380).

Almost surely, 2^{2083041792000} is an apocalyptic number.

2083041792000 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 2083041792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233287036160).

2083041792000 is an abundant number, since it is smaller than the sum of its proper divisors (6383532280320).

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

2083041792000 is a wasteful number, since it uses less digits than its factorization.

2083041792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2083041792000 in words is "two trillion, eighty-three billion, forty-one million, seven hundred ninety-two thousand".