1830361140 has 72 divisors (see below), whose sum is σ = 5702172840. Its totient is φ = 474902784.

The previous prime is 1830361139. The next prime is 1830361157. The reversal of 1830361140 is 411630381.

1830361140 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 3 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 857669796 + 972691344 = 29286^2 + 31188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130755 + ... + 144074.

It is an arithmetic number, because the mean of its divisors is an integer number (79196845).

Almost surely, 2^1830361140 is an apocalyptic number.

1830361140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830361140 is an abundant number, since it is smaller than the sum of its proper divisors (3871811700).

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

1830361140 is a wasteful number, since it uses less digits than its factorization.

1830361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274881 (or 274876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1830361140 is about 42782.7201098761. The cubic root of 1830361140 is about 1223.2416566824.

The spelling of 1830361140 in words is "one billion, eight hundred thirty million, three hundred sixty-one thousand, one hundred forty".