1813985280 has 288 divisors, whose sum is σ = 6528740400. Its totient is φ = 483729408.

The previous prime is 1813985279. The next prime is 1813985291. The reversal of 1813985280 is 825893181.

It is a happy number.

1813985280 is a `hidden beast` number, since 181 + 398 + 5 + 2 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362797054 + ... + 362797058.

Almost surely, 2^1813985280 is an apocalyptic number.

1813985280 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 1813985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264370200).

1813985280 is an abundant number, since it is smaller than the sum of its proper divisors (4714755120).

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

1813985280 is an frugal number, since it uses more digits than its factorization.

1813985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1813985280 is about 42590.9060716017. The cubic root of 1813985280 is about 1219.5826934298.

The spelling of 1813985280 in words is "one billion, eight hundred thirteen million, nine hundred eighty-five thousand, two hundred eighty".