2065117824 has 384 divisors, whose sum is σ = 7658127360. Its totient is φ = 518400000.

The previous prime is 2065117757. The next prime is 2065117829. The reversal of 2065117824 is 4287115602.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2065117829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749449 + ... + 2750199.

It is an arithmetic number, because the mean of its divisors is an integer number (19943040).

Almost surely, 2^2065117824 is an apocalyptic number.

2065117824 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 2065117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829063680).

2065117824 is an abundant number, since it is smaller than the sum of its proper divisors (5593009536).

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

2065117824 is a wasteful number, since it uses less digits than its factorization.

2065117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2065117824 is about 45443.5674655941. The cubic root of 2065117824 is about 1273.4491612393.

The spelling of 2065117824 in words is "two billion, sixty-five million, one hundred seventeen thousand, eight hundred twenty-four".