2065805600 has 36 divisors (see below), whose sum is σ = 5043149874. Its totient is φ = 826321920.

The previous prime is 2065805591. The next prime is 2065805603. The reversal of 2065805600 is 65085602.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1790643856 + 275161744 = 42316^2 + 16588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065805603) 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 5 ways as a sum of consecutive naturals, for example, 1290329 + ... + 1291928.

Almost surely, 2^2065805600 is an apocalyptic number.

2065805600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2065805600 is an abundant number, since it is smaller than the sum of its proper divisors (2977344274).

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

2065805600 is a wasteful number, since it uses less digits than its factorization.

2065805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582277 (or 2582264 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2065805600 is about 45451.1341992694. The cubic root of 2065805600 is about 1273.5905172669.

The spelling of 2065805600 in words is "two billion, sixty-five million, eight hundred five thousand, six hundred".