2065288000 has 56 divisors (see below), whose sum is σ = 5114705544. Its totient is φ = 826112000.

The previous prime is 2065287997. The next prime is 2065288009. The reversal of 2065288000 is 8825602.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 2055352896 = 3152^2 + 45336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065288009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121081 + ... + 137080.

Almost surely, 2^2065288000 is an apocalyptic number.

2065288000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2065288000 is an abundant number, since it is smaller than the sum of its proper divisors (3049417544).

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

2065288000 is an equidigital number, since it uses as much as digits as its factorization.

2065288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258188 (or 258168 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2065288000 is about 45445.4398152334. The cubic root of 2065288000 is about 1273.4841397976.

The spelling of 2065288000 in words is "two billion, sixty-five million, two hundred eighty-eight thousand".