2152725120 has 768 divisors, whose sum is σ = 9644140800. Its totient is φ = 441925632.

The previous prime is 2152725119. The next prime is 2152725143. The reversal of 2152725120 is 215272512.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58181742 + ... + 58181778.

It is an arithmetic number, because the mean of its divisors is an integer number (12557475).

Almost surely, 2^2152725120 is an apocalyptic number.

2152725120 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 2152725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822070400).

2152725120 is an abundant number, since it is smaller than the sum of its proper divisors (7491415680).

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

2152725120 is a wasteful number, since it uses less digits than its factorization.

2152725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2152725120 is about 46397.4688964818. The cubic root of 2152725120 is about 1291.2079545122.

Adding to 2152725120 its reverse (215272512), we get a palindrome (2367997632).

The spelling of 2152725120 in words is "two billion, one hundred fifty-two million, seven hundred twenty-five thousand, one hundred twenty".