1821705984 has 288 divisors, whose sum is σ = 6428298240. Its totient is φ = 497553408.

The previous prime is 1821705971. The next prime is 1821706027. The reversal of 1821705984 is 4895071281.

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

It is a super-2 number, since 2×1821705984² = 6637225384282816512, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1112014 + ... + 1113650.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^1821705984 is an apocalyptic number.

1821705984 is a gapful number since it is divisible by the number (14) 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 1821705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

1821705984 is an abundant number, since it is smaller than the sum of its proper divisors (4606592256).

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

1821705984 is a wasteful number, since it uses less digits than its factorization.

1821705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1821705984 is about 42681.4477730079. The cubic root of 1821705984 is about 1221.3105114928.

The spelling of 1821705984 in words is "one billion, eight hundred twenty-one million, seven hundred five thousand, nine hundred eighty-four".