2082773967120 has 1280 divisors, whose sum is σ = 9575387136000. Its totient is φ = 403020748800.

The previous prime is 2082773967089. The next prime is 2082773967161. The reversal of 2082773967120 is 217693772802.

2082773967120 is a `hidden beast` number, since 20 + 82 + 77 + 396 + 71 + 20 = 666.

It is a super-2 number, since 2×2082773967120² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 186439135 + ... + 186450305.

It is an arithmetic number, because the mean of its divisors is an integer number (7480771200).

Almost surely, 2^{2082773967120} is an apocalyptic number.

2082773967120 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 2082773967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787693568000).

2082773967120 is an abundant number, since it is smaller than the sum of its proper divisors (7492613168880).

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

2082773967120 is a wasteful number, since it uses less digits than its factorization.

2082773967120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 2082773967120 in words is "two trillion, eighty-two billion, seven hundred seventy-three million, nine hundred sixty-seven thousand, one hundred twenty".