2059327655424 has 240 divisors, whose sum is σ = 6443525088000. Its totient is φ = 629383938048.

The previous prime is 2059327655383. The next prime is 2059327655491. The reversal of 2059327655424 is 4245567239502.

2059327655424 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 32 + 7 + 65 + 542 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8810337 + ... + 9041055.

It is an arithmetic number, because the mean of its divisors is an integer number (26848021200).

Almost surely, 2^{2059327655424} is an apocalyptic number.

2059327655424 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 2059327655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221762544000).

2059327655424 is an abundant number, since it is smaller than the sum of its proper divisors (4384197432576).

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

2059327655424 is a wasteful number, since it uses less digits than its factorization.

2059327655424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230905 (or 230886 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2059327655424 in words is "two trillion, fifty-nine billion, three hundred twenty-seven million, six hundred fifty-five thousand, four hundred twenty-four".