1830009680 has 40 divisors (see below), whose sum is σ = 4266691200. Its totient is φ = 729953408.

The previous prime is 1830009673. The next prime is 1830009683. The reversal of 1830009680 is 869000381.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1830009680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830009683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3140 + ... + 60579.

It is an arithmetic number, because the mean of its divisors is an integer number (106667280).

Almost surely, 2^1830009680 is an apocalyptic number.

1830009680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830009680 is an abundant number, since it is smaller than the sum of its proper divisors (2436681520).

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

1830009680 is a wasteful number, since it uses less digits than its factorization.

1830009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64091 (or 64085 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1830009680 is about 42778.6124132142. The cubic root of 1830009680 is about 1223.1633573742.

The spelling of 1830009680 in words is "one billion, eight hundred thirty million, nine thousand, six hundred eighty".