1830004960 has 72 divisors (see below), whose sum is σ = 5029267320. Its totient is φ = 627427584.

The previous prime is 1830004937. The next prime is 1830004993. The reversal of 1830004960 is 694000381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108870 + ... + 124549.

It is an arithmetic number, because the mean of its divisors is an integer number (69850935).

Almost surely, 2^1830004960 is an apocalyptic number.

1830004960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830004960 is an abundant number, since it is smaller than the sum of its proper divisors (3199262360).

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

1830004960 is a wasteful number, since it uses less digits than its factorization.

1830004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233448 (or 233433 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1830004960 is about 42778.5572454238. The cubic root of 1830004960 is about 1223.1623057703.

The spelling of 1830004960 in words is "one billion, eight hundred thirty million, four thousand, nine hundred sixty".