2181450200 has 144 divisors (see below), whose sum is σ = 5513854680. Its totient is φ = 799841280.

The previous prime is 2181450199. The next prime is 2181450233. The reversal of 2181450200 is 20541812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6286427 + ... + 6286773.

Almost surely, 2^2181450200 is an apocalyptic number.

2181450200 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 2181450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756927340).

2181450200 is an abundant number, since it is smaller than the sum of its proper divisors (3332404480).

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

2181450200 is a wasteful number, since it uses less digits than its factorization.

2181450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2181450200 is about 46705.9974735579. The cubic root of 2181450200 is about 1296.9257138537.

The spelling of 2181450200 in words is "two billion, one hundred eighty-one million, four hundred fifty thousand, two hundred".