2059412800 has 42 divisors (see below), whose sum is σ = 5067446558. Its totient is φ = 823764480.

The previous prime is 2059412779. The next prime is 2059412809. The reversal of 2059412800 is 82149502.

It can be written as a sum of positive squares in 3 ways, for example, as 230310976 + 1829101824 = 15176^2 + 42768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059412809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641967 + ... + 645166.

Almost surely, 2^2059412800 is an apocalyptic number.

2059412800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2059412800 is an abundant number, since it is smaller than the sum of its proper divisors (3008033758).

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

2059412800 is a wasteful number, since it uses less digits than its factorization.

2059412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287155 (or 1287140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 2059412800 is about 45380.7536297052. The cubic root of 2059412800 is about 1272.2754173337.

The spelling of 2059412800 in words is "two billion, fifty-nine million, four hundred twelve thousand, eight hundred".