2120065416 has 192 divisors, whose sum is σ = 6884841600. Its totient is φ = 576543744.

The previous prime is 2120065399. The next prime is 2120065471. The reversal of 2120065416 is 6145600212.

2120065416 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 654 + 1 + 6 = 666.

It is a super-3 number, since 3×2120065416³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120065416.

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, 1065975 + ... + 1067961.

It is an arithmetic number, because the mean of its divisors is an integer number (35858550).

Almost surely, 2^2120065416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120065416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442420800).

2120065416 is an abundant number, since it is smaller than the sum of its proper divisors (4764776184).

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

2120065416 is a wasteful number, since it uses less digits than its factorization.

2120065416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2120065416 is about 46044.1680997713. The cubic root of 2120065416 is about 1284.6448706999.

Adding to 2120065416 its reverse (6145600212), we get a palindrome (8265665628).

The spelling of 2120065416 in words is "two billion, one hundred twenty million, sixty-five thousand, four hundred sixteen".