2065413841920 has 3168 divisors, whose sum is σ = 9424841287680. Its totient is φ = 428548423680.

The previous prime is 2065413841891. The next prime is 2065413841937. The reversal of 2065413841920 is 291483145602.

2065413841920 is a `hidden beast` number, since 2 + 0 + 6 + 541 + 3 + 84 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43944975337 + ... + 43944975383.

Almost surely, 2^{2065413841920} is an apocalyptic number.

2065413841920 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 2065413841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712420643840).

2065413841920 is an abundant number, since it is smaller than the sum of its proper divisors (7359427445760).

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

2065413841920 is a wasteful number, since it uses less digits than its factorization.

2065413841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2065413841920 in words is "two trillion, sixty-five billion, four hundred thirteen million, eight hundred forty-one thousand, nine hundred twenty".