2152612224 has 384 divisors, whose sum is σ = 7468032000. Its totient is φ = 582266880.

The previous prime is 2152612223. The next prime is 2152612237. The reversal of 2152612224 is 4222162512.

2152612224 is a `hidden beast` number, since 21 + 5 + 2 + 612 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152612223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19748682 + ... + 19748790.

It is an arithmetic number, because the mean of its divisors is an integer number (19448000).

Almost surely, 2^2152612224 is an apocalyptic number.

2152612224 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 2152612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734016000).

2152612224 is an abundant number, since it is smaller than the sum of its proper divisors (5315419776).

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

2152612224 is a wasteful number, since it uses less digits than its factorization.

2152612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2152612224 is about 46396.2522624403. The cubic root of 2152612224 is about 1291.1853823840.

Adding to 2152612224 its reverse (4222162512), we get a palindrome (6374774736).

The spelling of 2152612224 in words is "two billion, one hundred fifty-two million, six hundred twelve thousand, two hundred twenty-four".