1813294560 has 384 divisors, whose sum is σ = 7232053248. Its totient is φ = 370944000.

The previous prime is 1813294541. The next prime is 1813294603. The reversal of 1813294560 is 654923181.

It is a super-2 number, since 2×1813294560² = 6576074322651187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2623815 + ... + 2624505.

It is an arithmetic number, because the mean of its divisors is an integer number (18833472).

Almost surely, 2^1813294560 is an apocalyptic number.

1813294560 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 1813294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616026624).

1813294560 is an abundant number, since it is smaller than the sum of its proper divisors (5418758688).

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

1813294560 is a wasteful number, since it uses less digits than its factorization.

1813294560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1813294560 is about 42582.7965262969. The cubic root of 1813294560 is about 1219.4278782998.

The spelling of 1813294560 in words is "one billion, eight hundred thirteen million, two hundred ninety-four thousand, five hundred sixty".