2059142012928 has 672 divisors, whose sum is σ = 7986773837952. Its totient is φ = 493682688000.

The previous prime is 2059142012891. The next prime is 2059142012947. The reversal of 2059142012928 is 8292102419502.

2059142012928 is a `hidden beast` number, since 2 + 0 + 591 + 4 + 20 + 12 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73787778 + ... + 73815678.

It is an arithmetic number, because the mean of its divisors is an integer number (11885080116).

Almost surely, 2^{2059142012928} is an apocalyptic number.

2059142012928 is a gapful number since it is divisible by the number (28) 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 2059142012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993386918976).

2059142012928 is an abundant number, since it is smaller than the sum of its proper divisors (5927631825024).

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

2059142012928 is a wasteful number, since it uses less digits than its factorization.

2059142012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27964 (or 27937 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2059142012928 in words is "two trillion, fifty-nine billion, one hundred forty-two million, twelve thousand, nine hundred twenty-eight".