2059364736 has 384 divisors, whose sum is σ = 7235504640. Its totient is φ = 574801920.

The previous prime is 2059364719. The next prime is 2059364743. The reversal of 2059364736 is 6374639502.

2059364736 is a `hidden beast` number, since 20 + 593 + 6 + 4 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2059364691 and 2059364700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447641 + ... + 4448103.

It is an arithmetic number, because the mean of its divisors is an integer number (18842460).

Almost surely, 2^2059364736 is an apocalyptic number.

2059364736 is a gapful number since it is divisible by the number (26) 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 2059364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617752320).

2059364736 is an abundant number, since it is smaller than the sum of its proper divisors (5176139904).

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

2059364736 is a wasteful number, since it uses less digits than its factorization.

2059364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2059364736 is about 45380.2240629109. The cubic root of 2059364736 is about 1272.2655195088.

The spelling of 2059364736 in words is "two billion, fifty-nine million, three hundred sixty-four thousand, seven hundred thirty-six".