1820016000 has 512 divisors, whose sum is σ = 7332249600. Its totient is φ = 440064000.

The previous prime is 1820015957. The next prime is 1820016007. The reversal of 1820016000 is 6100281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820016007) 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, 4751809 + ... + 4752191.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^1820016000 is an apocalyptic number.

1820016000 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 1820016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666124800).

1820016000 is an abundant number, since it is smaller than the sum of its proper divisors (5512233600).

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

1820016000 is a wasteful number, since it uses less digits than its factorization.

1820016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1820016000 is about 42661.6455378833. The cubic root of 1820016000 is about 1220.9327275507.

Adding to 1820016000 its reverse (6100281), we get a palindrome (1826116281).

The spelling of 1820016000 in words is "one billion, eight hundred twenty million, sixteen thousand".