2212725120 has 256 divisors, whose sum is σ = 7455628800. Its totient is φ = 557072384.

The previous prime is 2212725107. The next prime is 2212725127. The reversal of 2212725120 is 215272122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212725127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929959 + ... + 3930521.

It is an arithmetic number, because the mean of its divisors is an integer number (29123550).

Almost surely, 2^2212725120 is an apocalyptic number.

2212725120 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 2212725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727814400).

2212725120 is an abundant number, since it is smaller than the sum of its proper divisors (5242903680).

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

2212725120 is a wasteful number, since it uses less digits than its factorization.

2212725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2212725120 is about 47039.6122432998. The cubic root of 2212725120 is about 1303.0942309155.

Adding to 2212725120 its reverse (215272122), we get a palindrome (2427997242).

The spelling of 2212725120 in words is "two billion, two hundred twelve million, seven hundred twenty-five thousand, one hundred twenty".