1830099880 has 256 divisors, whose sum is σ = 5175705600. Its totient is φ = 568719360.

The previous prime is 1830099877. The next prime is 1830099889. The reversal of 1830099880 is 889900381.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1830099880.

It is not an unprimeable number, because it can be changed into a prime (1830099889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17767909 + ... + 17768011.

It is an arithmetic number, because the mean of its divisors is an integer number (20217600).

Almost surely, 2^1830099880 is an apocalyptic number.

1830099880 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 1830099880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587852800).

1830099880 is an abundant number, since it is smaller than the sum of its proper divisors (3345605720).

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

1830099880 is a wasteful number, since it uses less digits than its factorization.

1830099880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 1830099880 is about 42779.6666653680. Note that the first 5 decimals coincide. The cubic root of 1830099880 is about 1223.1834533558.

The spelling of 1830099880 in words is "one billion, eight hundred thirty million, ninety-nine thousand, eight hundred eighty".