1821012480 has 360 divisors, whose sum is σ = 7340888412. Its totient is φ = 415973376.

The previous prime is 1821012469. The next prime is 1821012503. The reversal of 1821012480 is 842101281.

1821012480 is a `hidden beast` number, since 1 + 82 + 101 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1820899584 + 112896 = 42672^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1128154 + ... + 1129766.

Almost surely, 2^1821012480 is an apocalyptic number.

1821012480 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 1821012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670444206).

1821012480 is an abundant number, since it is smaller than the sum of its proper divisors (5519875932).

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

1821012480 is a wasteful number, since it uses less digits than its factorization.

1821012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1821012480 is about 42673.3228141423. The cubic root of 1821012480 is about 1221.1555118689.

The spelling of 1821012480 in words is "one billion, eight hundred twenty-one million, twelve thousand, four hundred eighty".