2086749356160 has 1024 divisors, whose sum is σ = 8101571788800. Its totient is φ = 446791680000.

The previous prime is 2086749356147. The next prime is 2086749356173. The reversal of 2086749356160 is 616539476802.

It is an interprime number because it is at equal distance from previous prime (2086749356147) and next prime (2086749356173).

It is a self number, because there is not a number n which added to its sum of digits gives 2086749356160.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2579417836 + ... + 2579418644.

It is an arithmetic number, because the mean of its divisors is an integer number (7911691200).

It is a 1-persistent number, because it is pandigital, but 2⋅2086749356160 = 4173498712320 is not.

Almost surely, 2^{2086749356160} is an apocalyptic number.

2086749356160 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 2086749356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050785894400).

2086749356160 is an abundant number, since it is smaller than the sum of its proper divisors (6014822432640).

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

2086749356160 is a wasteful number, since it uses less digits than its factorization.

2086749356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 2086749356160 in words is "two trillion, eighty-six billion, seven hundred forty-nine million, three hundred fifty-six thousand, one hundred sixty".