2059284153312 has 288 divisors, whose sum is σ = 6140620886400. Its totient is φ = 678807848448.

The previous prime is 2059284153287. The next prime is 2059284153319. The reversal of 2059284153312 is 2133514829502.

2059284153312 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 284 + 1 + 53 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059284153319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497529739 + ... + 497533877.

It is an arithmetic number, because the mean of its divisors is an integer number (21321600300).

Almost surely, 2^{2059284153312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059284153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070310443200).

2059284153312 is an abundant number, since it is smaller than the sum of its proper divisors (4081336733088).

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

2059284153312 is a wasteful number, since it uses less digits than its factorization.

2059284153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2059284153312 in words is "two trillion, fifty-nine billion, two hundred eighty-four million, one hundred fifty-three thousand, three hundred twelve".