2230824960 has 936 divisors, whose sum is σ = 10196812080. Its totient is φ = 445906944.

The previous prime is 2230824929. The next prime is 2230825019. The reversal of 2230824960 is 694280322.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-3 number, since 3×2230824960³ (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117411831 + ... + 117411849.

It is an arithmetic number, because the mean of its divisors is an integer number (10894030).

Almost surely, 2^2230824960 is an apocalyptic number.

2230824960 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 2230824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098406040).

2230824960 is an abundant number, since it is smaller than the sum of its proper divisors (7965987120).

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

2230824960 is a wasteful number, since it uses less digits than its factorization.

2230824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2230824960 is about 47231.6097544854. The cubic root of 2230824960 is about 1306.6376410786.

The spelling of 2230824960 in words is "two billion, two hundred thirty million, eight hundred twenty-four thousand, nine hundred sixty".