2331224064 has 480 divisors, whose sum is σ = 7991343360. Its totient is φ = 671514624.

The previous prime is 2331224053. The next prime is 2331224167. The reversal of 2331224064 is 4604221332.

2331224064 is a `hidden beast` number, since 233 + 1 + 22 + 406 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49600489 + ... + 49600535.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2^2331224064 is an apocalyptic number.

2331224064 is a gapful number since it is divisible by the number (24) 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 2331224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995671680).

2331224064 is an abundant number, since it is smaller than the sum of its proper divisors (5660119296).

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

2331224064 is a wasteful number, since it uses less digits than its factorization.

2331224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2331224064 is about 48282.7512057878. The cubic root of 2331224064 is about 1325.9526200798.

Adding to 2331224064 its reverse (4604221332), we get a palindrome (6935445396).

The spelling of 2331224064 in words is "two billion, three hundred thirty-one million, two hundred twenty-four thousand, sixty-four".