2148532352 has 72 divisors (see below), whose sum is σ = 4565816055. Its totient is φ = 1006878720.

The previous prime is 2148532271. The next prime is 2148532361. The reversal of 2148532352 is 2532358412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2040870976 + 107661376 = 45176^2 + 10376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8914952 + ... + 8915192.

Almost surely, 2^2148532352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148532352

2148532352 is an abundant number, since it is smaller than the sum of its proper divisors (2417283703).

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

2148532352 is an frugal number, since it uses more digits than its factorization.

2148532352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 260 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 2148532352 is about 46352.2637203406. The cubic root of 2148532352 is about 1290.3691333905.

The spelling of 2148532352 in words is "two billion, one hundred forty-eight million, five hundred thirty-two thousand, three hundred fifty-two".