2142505352 has 64 divisors (see below), whose sum is σ = 4380853680. Its totient is φ = 976453632.

The previous prime is 2142505331. The next prime is 2142505357. The reversal of 2142505352 is 2535052412.

It can be written as a sum of positive squares in 8 ways, for example, as 306040036 + 1836465316 = 17494^2 + 42854^2 .

It is not an unprimeable number, because it can be changed into a prime (2142505357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3472148 + ... + 3472764.

Almost surely, 2^2142505352 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 2142505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190426840).

2142505352 is an abundant number, since it is smaller than the sum of its proper divisors (2238348328).

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

2142505352 is a wasteful number, since it uses less digits than its factorization.

2142505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2142505352 is about 46287.2050571213. The cubic root of 2142505352 is about 1289.1614348574.

Adding to 2142505352 its reverse (2535052412), we get a palindrome (4677557764).

The spelling of 2142505352 in words is "two billion, one hundred forty-two million, five hundred five thousand, three hundred fifty-two".