1840540900 has 72 divisors (see below), whose sum is σ = 4368782880. Its totient is φ = 667488000.

The previous prime is 1840540847. The next prime is 1840540939. The reversal of 1840540900 is 90450481.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447855 + ... + 451945.

It is an arithmetic number, because the mean of its divisors is an integer number (60677540).

Almost surely, 2^1840540900 is an apocalyptic number.

1840540900 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 1840540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184391440).

1840540900 is an abundant number, since it is smaller than the sum of its proper divisors (2528241980).

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

1840540900 is a wasteful number, since it uses less digits than its factorization.

1840540900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1840540900 is about 42901.5256138986. The cubic root of 1840540900 is about 1225.5051977054.

The spelling of 1840540900 in words is "one billion, eight hundred forty million, five hundred forty thousand, nine hundred".