1834014720 has 192 divisors, whose sum is σ = 5915669760. Its totient is φ = 485064704.

The previous prime is 1834014719. The next prime is 1834014739. The reversal of 1834014720 is 274104381.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6973309 + ... + 6973571.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^1834014720 is an apocalyptic number.

1834014720 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 1834014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

1834014720 is an abundant number, since it is smaller than the sum of its proper divisors (4081655040).

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

1834014720 is a wasteful number, since it uses less digits than its factorization.

1834014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1834014720 is about 42825.3980717051. The cubic root of 1834014720 is about 1224.0550190997.

The spelling of 1834014720 in words is "one billion, eight hundred thirty-four million, fourteen thousand, seven hundred twenty".