2065307328 has 224 divisors, whose sum is σ = 7005035520. Its totient is φ = 584478720.

The previous prime is 2065307273. The next prime is 2065307351. The reversal of 2065307328 is 8237035602.

2065307328 is a `hidden beast` number, since 20 + 6 + 5 + 307 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2065307292 and 2065307301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366093 + ... + 1367603.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 2^2065307328 is an apocalyptic number.

2065307328 is a gapful number since it is divisible by the number (28) 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 2065307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502517760).

2065307328 is an abundant number, since it is smaller than the sum of its proper divisors (4939728192).

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

2065307328 is a wasteful number, since it uses less digits than its factorization.

2065307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2065307328 is about 45445.6524653349. The cubic root of 2065307328 is about 1273.4881124194.

The spelling of 2065307328 in words is "two billion, sixty-five million, three hundred seven thousand, three hundred twenty-eight".