2145336324200 has 96 divisors (see below), whose sum is σ = 5128423009920. Its totient is φ = 834114240000.

The previous prime is 2145336324181. The next prime is 2145336324217. The reversal of 2145336324200 is 24236335412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739495 + ... + 2704905.

It is an arithmetic number, because the mean of its divisors is an integer number (53421073020).

Almost surely, 2^{2145336324200} is an apocalyptic number.

2145336324200 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 2145336324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564211504960).

2145336324200 is an abundant number, since it is smaller than the sum of its proper divisors (2983086685720).

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

2145336324200 is a wasteful number, since it uses less digits than its factorization.

2145336324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965739 (or 965730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 2145336324200 in words is "two trillion, one hundred forty-five billion, three hundred thirty-six million, three hundred twenty-four thousand, two hundred".