2086717127040 has 2304 divisors, whose sum is σ = 9497544376320. Its totient is φ = 426649337856.

The previous prime is 2086717127039. The next prime is 2086717127057. The reversal of 2086717127040 is 407217176802.

2086717127040 is a `hidden beast` number, since 208 + 6 + 7 + 171 + 270 + 4 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 16430843457 + ... + 16430843583.

It is an arithmetic number, because the mean of its divisors is an integer number (4122198080).

Almost surely, 2^{2086717127040} is an apocalyptic number.

2086717127040 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 2086717127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748772188160).

2086717127040 is an abundant number, since it is smaller than the sum of its proper divisors (7410827249280).

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

2086717127040 is an equidigital number, since it uses as much as digits as its factorization.

2086717127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 2086717127040 in words is "two trillion, eighty-six billion, seven hundred seventeen million, one hundred twenty-seven thousand, forty".