2065428288 has 672 divisors, whose sum is σ = 8175467520. Its totient is φ = 496419840.

The previous prime is 2065428271. The next prime is 2065428317. The reversal of 2065428288 is 8828245602.

2065428288 is a `hidden beast` number, since 20 + 6 + 542 + 8 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2065428288³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48033195 + ... + 48033237.

Almost surely, 2^2065428288 is an apocalyptic number.

2065428288 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 2065428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087733760).

2065428288 is an abundant number, since it is smaller than the sum of its proper divisors (6110039232).

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

2065428288 is a wasteful number, since it uses less digits than its factorization.

2065428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2065428288 is about 45446.9832662191. The cubic root of 2065428288 is about 1273.5129736290.

The spelling of 2065428288 in words is "two billion, sixty-five million, four hundred twenty-eight thousand, two hundred eighty-eight".