2152812144 has 160 divisors (see below), whose sum is σ = 6812421120. Its totient is φ = 572368896.

The previous prime is 2152812139. The next prime is 2152812161. The reversal of 2152812144 is 4412182512.

It is a congruent number.

It is an unprimeable number.

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, 282172 + ... + 289700.

It is an arithmetic number, because the mean of its divisors is an integer number (42577632).

Almost surely, 2^2152812144 is an apocalyptic number.

2152812144 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 2152812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406210560).

2152812144 is an abundant number, since it is smaller than the sum of its proper divisors (4659608976).

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

2152812144 is a wasteful number, since it uses less digits than its factorization.

2152812144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7601 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2152812144 is about 46398.4066967822. The cubic root of 2152812144 is about 1291.2253533223.

Adding to 2152812144 its reverse (4412182512), we get a palindrome (6564994656).

The spelling of 2152812144 in words is "two billion, one hundred fifty-two million, eight hundred twelve thousand, one hundred forty-four".