2181304072200 has 384 divisors, whose sum is σ = 7635730032000. Its totient is φ = 510259814400.

The previous prime is 2181304072153. The next prime is 2181304072231. The reversal of 2181304072200 is 22704031812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546827806 + ... + 546831794.

It is an arithmetic number, because the mean of its divisors is an integer number (19884713625).

Almost surely, 2^{2181304072200} is an apocalyptic number.

2181304072200 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 2181304072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817865016000).

2181304072200 is an abundant number, since it is smaller than the sum of its proper divisors (5454425959800).

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

2181304072200 is a wasteful number, since it uses less digits than its factorization.

2181304072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 2181304072200 in words is "two trillion, one hundred eighty-one billion, three hundred four million, seventy-two thousand, two hundred".