2059965600 has 576 divisors, whose sum is σ = 8531453952. Its totient is φ = 419328000.

The previous prime is 2059965571. The next prime is 2059965601. The reversal of 2059965600 is 65699502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2059965601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13120722 + ... + 13120878.

It is an arithmetic number, because the mean of its divisors is an integer number (14811552).

Almost surely, 2^2059965600 is an apocalyptic number.

2059965600 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 2059965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265726976).

2059965600 is an abundant number, since it is smaller than the sum of its proper divisors (6471488352).

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

2059965600 is a wasteful number, since it uses less digits than its factorization.

2059965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2059965600 is about 45386.8439087804. The cubic root of 2059965600 is about 1272.3892444289.

The spelling of 2059965600 in words is "two billion, fifty-nine million, nine hundred sixty-five thousand, six hundred".