1833420330 has 96 divisors (see below), whose sum is σ = 5498064000. Its totient is φ = 415207296.

The previous prime is 1833420319. The next prime is 1833420353. The reversal of 1833420330 is 330243381.

It is a super-2 number, since 2×1833420330² = 6722860212914617800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1833420294 and 1833420303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55321 + ... + 82019.

It is an arithmetic number, because the mean of its divisors is an integer number (57271500).

Almost surely, 2^1833420330 is an apocalyptic number.

1833420330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1833420330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749032000).

1833420330 is an abundant number, since it is smaller than the sum of its proper divisors (3664643670).

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

1833420330 is a wasteful number, since it uses less digits than its factorization.

1833420330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26828 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1833420330 is about 42818.4578190294. The cubic root of 1833420330 is about 1223.9227692204.

The spelling of 1833420330 in words is "one billion, eight hundred thirty-three million, four hundred twenty thousand, three hundred thirty".