1820999040 has 256 divisors, whose sum is σ = 6683627520. Its totient is φ = 413097984.

The previous prime is 1820999039. The next prime is 1820999053. The reversal of 1820999040 is 409990281.

It is a super-3 number, since 3×1820999040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1820998983 and 1820999001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109649 + ... + 2110511.

It is an arithmetic number, because the mean of its divisors is an integer number (26107920).

Almost surely, 2^1820999040 is an apocalyptic number.

1820999040 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 1820999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341813760).

1820999040 is an abundant number, since it is smaller than the sum of its proper divisors (4862628480).

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

1820999040 is a wasteful number, since it uses less digits than its factorization.

1820999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1820999040 is about 42673.1653384185. The cubic root of 1820999040 is about 1221.1525076115.

The spelling of 1820999040 in words is "one billion, eight hundred twenty million, nine hundred ninety-nine thousand, forty".