1820450016 has 288 divisors, whose sum is σ = 6525163008. Its totient is φ = 467665920.

The previous prime is 1820450003. The next prime is 1820450017. The reversal of 1820450016 is 6100540281.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820450017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283730 + ... + 2284526.

It is an arithmetic number, because the mean of its divisors is an integer number (22656816).

Almost surely, 2^1820450016 is an apocalyptic number.

1820450016 is a gapful number since it is divisible by the number (16) 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 1820450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262581504).

1820450016 is an abundant number, since it is smaller than the sum of its proper divisors (4704712992).

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

1820450016 is a wasteful number, since it uses less digits than its factorization.

1820450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1820450016 is about 42666.7319582834. The cubic root of 1820450016 is about 1221.0297710606.

Adding to 1820450016 its reverse (6100540281), we get a palindrome (7920990297).

The spelling of 1820450016 in words is "one billion, eight hundred twenty million, four hundred fifty thousand, sixteen".