2079325483200 has 1008 divisors, whose sum is σ = 8660120002560. Its totient is φ = 463371632640.

The previous prime is 2079325483177. The next prime is 2079325483201. The reversal of 2079325483200 is 23845239702.

2079325483200 is a `hidden beast` number, since 2 + 0 + 79 + 3 + 2 + 548 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (2079325483201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 755293024 + ... + 755295776.

Almost surely, 2^{2079325483200} is an apocalyptic number.

2079325483200 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 2079325483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330060001280).

2079325483200 is an abundant number, since it is smaller than the sum of its proper divisors (6580794519360).

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

2079325483200 is a wasteful number, since it uses less digits than its factorization.

2079325483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2079325483200 in words is "two trillion, seventy-nine billion, three hundred twenty-five million, four hundred eighty-three thousand, two hundred".