2065137984 has 448 divisors, whose sum is σ = 7810682880. Its totient is φ = 520058880.

The previous prime is 2065137929. The next prime is 2065137989. The reversal of 2065137984 is 4897315602.

2065137984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

2065137984 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065137989) 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 63 ways as a sum of consecutive naturals, for example, 3616419 + ... + 3616989.

It is an arithmetic number, because the mean of its divisors is an integer number (17434560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2065137984 = 4130275968, but 3⋅2065137984 = 6195413952 is not.

Almost surely, 2^2065137984 is an apocalyptic number.

2065137984 is a gapful number since it is divisible by the number (24) 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 2065137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905341440).

2065137984 is an abundant number, since it is smaller than the sum of its proper divisors (5745544896).

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

2065137984 is a wasteful number, since it uses less digits than its factorization.

2065137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2065137984 is about 45443.7892786242. The cubic root of 2065137984 is about 1273.4533050952.

The spelling of 2065137984 in words is "two billion, sixty-five million, one hundred thirty-seven thousand, nine hundred eighty-four".