1842181200 has 360 divisors, whose sum is σ = 6994480896. Its totient is φ = 446976000.

The previous prime is 1842181193. The next prime is 1842181247. The reversal of 1842181200 is 21812481.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1896715 + ... + 1897685.

Almost surely, 2^1842181200 is an apocalyptic number.

1842181200 is a gapful number since it is divisible by the number (10) 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 1842181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497240448).

1842181200 is an abundant number, since it is smaller than the sum of its proper divisors (5152299696).

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

1842181200 is a wasteful number, since it uses less digits than its factorization.

1842181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1842181200 is about 42920.6383922700. The cubic root of 1842181200 is about 1225.8691485609.

Adding to 1842181200 its reverse (21812481), we get a palindrome (1863993681).

The spelling of 1842181200 in words is "one billion, eight hundred forty-two million, one hundred eighty-one thousand, two hundred".