2140152224 has 108 divisors (see below), whose sum is σ = 5042431926. Its totient is φ = 891523584.

The previous prime is 2140152221. The next prime is 2140152227. The reversal of 2140152224 is 4222510412.

It is an interprime number because it is at equal distance from previous prime (2140152221) and next prime (2140152227).

It can be written as a sum of positive squares in 3 ways, for example, as 1994515600 + 145636624 = 44660^2 + 12068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2140152224.

It is not an unprimeable number, because it can be changed into a prime (2140152221) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2146094 + ... + 2147090.

Almost surely, 2^2140152224 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 2140152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521215963).

2140152224 is an abundant number, since it is smaller than the sum of its proper divisors (2902279702).

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

2140152224 is an equidigital number, since it uses as much as digits as its factorization.

2140152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2140152224 is about 46261.7792999794. The cubic root of 2140152224 is about 1288.6892970806.

Adding to 2140152224 its reverse (4222510412), we get a palindrome (6362662636).

The spelling of 2140152224 in words is "two billion, one hundred forty million, one hundred fifty-two thousand, two hundred twenty-four".