2059113600 has 576 divisors, whose sum is σ = 7991006400. Its totient is φ = 503193600.

The previous prime is 2059113587. The next prime is 2059113607. The reversal of 2059113600 is 63119502.

2059113600 is a `hidden beast` number, since 2 + 0 + 59 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2059113607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29001565 + ... + 29001635.

It is an arithmetic number, because the mean of its divisors is an integer number (13873275).

Almost surely, 2^2059113600 is an apocalyptic number.

2059113600 is a gapful number since it is divisible by the number (20) 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 2059113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995503200).

2059113600 is an abundant number, since it is smaller than the sum of its proper divisors (5931892800).

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

2059113600 is a wasteful number, since it uses less digits than its factorization.

2059113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2059113600 is about 45377.4569582739. The cubic root of 2059113600 is about 1272.2138005399.

It can be divided in two parts, 20591 and 13600, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 2059113600 in words is "two billion, fifty-nine million, one hundred thirteen thousand, six hundred".