2059329408 has 64 divisors (see below), whose sum is σ = 5791882320. Its totient is φ = 646062080.

The previous prime is 2059329407. The next prime is 2059329413. The reversal of 2059329408 is 8049239502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2059329408² = 8481675221307260928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2059329408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059329401) 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 7 ways as a sum of consecutive naturals, for example, 151203 + ... + 164258.

Almost surely, 2^2059329408 is an apocalyptic number.

It is an amenable number.

2059329408 is an abundant number, since it is smaller than the sum of its proper divisors (3732552912).

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

2059329408 is a wasteful number, since it uses less digits than its factorization.

2059329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315495 (or 315483 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2059329408 is about 45379.8348167994. The cubic root of 2059329408 is about 1272.2582443117.

It can be divided in two parts, 205932 and 9408, that multiplied together give a square (1937408256 = 44016²).

The spelling of 2059329408 in words is "two billion, fifty-nine million, three hundred twenty-nine thousand, four hundred eight".