1842240000 has 400 divisors, whose sum is σ = 6519538080. Its totient is φ = 460800000.

The previous prime is 1842239999. The next prime is 1842240011. The reversal of 1842240000 is 422481.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239950 + ... + 18240050.

Almost surely, 2^1842240000 is an apocalyptic number.

1842240000 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 1842240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259769040).

1842240000 is an abundant number, since it is smaller than the sum of its proper divisors (4677298080).

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

1842240000 is an equidigital number, since it uses as much as digits as its factorization.

1842240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1842240000 is about 42921.3233719558. The cubic root of 1842240000 is about 1225.8821911323.

Adding to 1842240000 its reverse (422481), we get a palindrome (1842662481).

The spelling of 1842240000 in words is "one billion, eight hundred forty-two million, two hundred forty thousand".