2065823403840 has 1792 divisors, whose sum is σ = 8886044590080. Its totient is φ = 447449702400.

The previous prime is 2065823403829. The next prime is 2065823403899. The reversal of 2065823403840 is 483043285602.

2065823403840 is a `hidden beast` number, since 2 + 0 + 6 + 582 + 34 + 0 + 38 + 4 + 0 = 666.

It is a super-3 number, since 3×2065823403840³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

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, 9263781969 + ... + 9263782191.

It is an arithmetic number, because the mean of its divisors is an integer number (4958730240).

Almost surely, 2^{2065823403840} is an apocalyptic number.

2065823403840 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 2065823403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443022295040).

2065823403840 is an abundant number, since it is smaller than the sum of its proper divisors (6820221186240).

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

2065823403840 is an equidigital number, since it uses as much as digits as its factorization.

2065823403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2065823403840 in words is "two trillion, sixty-five billion, eight hundred twenty-three million, four hundred three thousand, eight hundred forty".