2086784953344 has 528 divisors, whose sum is σ = 7597061559360. Its totient is φ = 536928583680.

The previous prime is 2086784953289. The next prime is 2086784953417. The reversal of 2086784953344 is 4433594876802.

2086784953344 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 78 + 495 + 33 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 34354552 + ... + 34415240.

Almost surely, 2^{2086784953344} is an apocalyptic number.

2086784953344 is a gapful number since it is divisible by the number (24) 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 2086784953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798530779680).

2086784953344 is an abundant number, since it is smaller than the sum of its proper divisors (5510276606016).

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

2086784953344 is a wasteful number, since it uses less digits than its factorization.

2086784953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60776 (or 60755 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2086784953344 in words is "two trillion, eighty-six billion, seven hundred eighty-four million, nine hundred fifty-three thousand, three hundred forty-four".