2652321081800 has 96 divisors (see below), whose sum is σ = 6641508119400. Its totient is φ = 979244206080.

The previous prime is 2652321081743. The next prime is 2652321081803. The reversal of 2652321081800 is 81801232562.

2652321081800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 663042147076 + 1989278934724 = 814274^2 + 1410418^2 .

It is not an unprimeable number, because it can be changed into a prime (2652321081803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43725092 + ... + 43785708.

Almost surely, 2^{2652321081800} is an apocalyptic number.

2652321081800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2652321081800 is an abundant number, since it is smaller than the sum of its proper divisors (3989187037600).

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

2652321081800 is a wasteful number, since it uses less digits than its factorization.

2652321081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77475 (or 77466 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 2652321081800 in words is "two trillion, six hundred fifty-two billion, three hundred twenty-one million, eighty-one thousand, eight hundred".