2065695840 has 288 divisors, whose sum is σ = 8039225376. Its totient is φ = 478494720.

The previous prime is 2065695811. The next prime is 2065695869. The reversal of 2065695840 is 485965602.

2065695840 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 69 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2065695811) and next prime (2065695869).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314995 + ... + 321485.

It is an arithmetic number, because the mean of its divisors is an integer number (27913977).

Almost surely, 2^2065695840 is an apocalyptic number.

2065695840 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 2065695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019612688).

2065695840 is an abundant number, since it is smaller than the sum of its proper divisors (5973529536).

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

2065695840 is a wasteful number, since it uses less digits than its factorization.

2065695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2065695840 is about 45449.9267326142. The cubic root of 2065695840 is about 1273.5679608090.

The spelling of 2065695840 in words is "two billion, sixty-five million, six hundred ninety-five thousand, eight hundred forty".