2086282448640 has 1728 divisors, whose sum is σ = 8414642396160. Its totient is φ = 494538670080.

The previous prime is 2086282448633. The next prime is 2086282448647. The reversal of 2086282448640 is 468442826802.

2086282448640 is a `hidden beast` number, since 2 + 0 + 8 + 62 + 82 + 448 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2086282448633) and next prime (2086282448647).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086282448647) by changing a digit.

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, 29384259805 + ... + 29384259875.

It is an arithmetic number, because the mean of its divisors is an integer number (4869584720).

Almost surely, 2^{2086282448640} is an apocalyptic number.

2086282448640 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 2086282448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207321198080).

2086282448640 is an abundant number, since it is smaller than the sum of its proper divisors (6328359947520).

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

2086282448640 is an frugal number, since it uses more digits than its factorization.

2086282448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 2086282448640 in words is "two trillion, eighty-six billion, two hundred eighty-two million, four hundred forty-eight thousand, six hundred forty".