2231815680 has 400 divisors, whose sum is σ = 8199385920. Its totient is φ = 579944448.

The previous prime is 2231815679. The next prime is 2231815697. The reversal of 2231815680 is 865181322.

It is a happy number.

It is a super-3 number, since 3×2231815680³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9745806 + ... + 9746034.

Almost surely, 2^2231815680 is an apocalyptic number.

2231815680 is a gapful number since it is divisible by the number (20) 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 2231815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099692960).

2231815680 is an abundant number, since it is smaller than the sum of its proper divisors (5967570240).

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

2231815680 is an equidigital number, since it uses as much as digits as its factorization.

2231815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2231815680 is about 47242.0964818455. The cubic root of 2231815680 is about 1306.8310404535.

The spelling of 2231815680 in words is "two billion, two hundred thirty-one million, eight hundred fifteen thousand, six hundred eighty".