1814482080 has 384 divisors, whose sum is σ = 6949877760. Its totient is φ = 440156160.

The previous prime is 1814482067. The next prime is 1814482123. The reversal of 1814482080 is 802844181.

It is a happy number.

1814482080 is a `hidden beast` number, since 1 + 8 + 1 + 448 + 208 + 0 = 666.

It is a super-2 number, since 2×1814482080² = 6584690437282252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2276242 + ... + 2277038.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^1814482080 is an apocalyptic number.

1814482080 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 1814482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).

1814482080 is an abundant number, since it is smaller than the sum of its proper divisors (5135395680).

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

1814482080 is a wasteful number, since it uses less digits than its factorization.

1814482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1814482080 is about 42596.7379032714. The cubic root of 1814482080 is about 1219.6940198346.

The spelling of 1814482080 in words is "one billion, eight hundred fourteen million, four hundred eighty-two thousand, eighty".