2065062553344 has 864 divisors, whose sum is σ = 7214693391360. Its totient is φ = 576963772416.

The previous prime is 2065062553343. The next prime is 2065062553357. The reversal of 2065062553344 is 4433552605602.

2065062553344 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 0 + 62 + 553 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 2065062553344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065062553343) 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 95 ways as a sum of consecutive naturals, for example, 5308643902 + ... + 5308644290.

Almost surely, 2^{2065062553344} is an apocalyptic number.

2065062553344 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 2065062553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607346695680).

2065062553344 is an abundant number, since it is smaller than the sum of its proper divisors (5149630838016).

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

2065062553344 is an equidigital number, since it uses as much as digits as its factorization.

2065062553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 2065062553344 in words is "two trillion, sixty-five billion, sixty-two million, five hundred fifty-three thousand, three hundred forty-four".