1813217280 has 512 divisors, whose sum is σ = 7247646720. Its totient is φ = 377487360.

The previous prime is 1813217279. The next prime is 1813217299. The reversal of 1813217280 is 827123181.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58490865 + ... + 58490895.

It is an arithmetic number, because the mean of its divisors is an integer number (14155560).

Almost surely, 2^1813217280 is an apocalyptic number.

1813217280 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 1813217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623823360).

1813217280 is an abundant number, since it is smaller than the sum of its proper divisors (5434429440).

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

1813217280 is an equidigital number, since it uses as much as digits as its factorization.

1813217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1813217280 is about 42581.8891079294. The cubic root of 1813217280 is about 1219.4105546343.

The spelling of 1813217280 in words is "one billion, eight hundred thirteen million, two hundred seventeen thousand, two hundred eighty".