2065132800 has 864 divisors, whose sum is σ = 8668195200. Its totient is φ = 477757440.

The previous prime is 2065132793. The next prime is 2065132807. The reversal of 2065132800 is 82315602.

2065132800 is a `hidden beast` number, since 2 + 0 + 651 + 3 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2065132793) and next prime (2065132807).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065132807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55814382 + ... + 55814418.

Almost surely, 2^2065132800 is an apocalyptic number.

2065132800 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 2065132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334097600).

2065132800 is an abundant number, since it is smaller than the sum of its proper divisors (6603062400).

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

2065132800 is a wasteful number, since it uses less digits than its factorization.

2065132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2065132800 is about 45443.7322410913. The cubic root of 2065132800 is about 1273.4522395348.

The spelling of 2065132800 in words is "two billion, sixty-five million, one hundred thirty-two thousand, eight hundred".