2140253024 has 192 divisors, whose sum is σ = 5527388160. Its totient is φ = 792115200.

The previous prime is 2140253021. The next prime is 2140253047. The reversal of 2140253024 is 4203520412.

It is a happy number.

It is a super-2 number, since 2×2140253024² = 9161366013482289152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140253021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5587937 + ... + 5588319.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 2^2140253024 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 2140253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

2140253024 is an abundant number, since it is smaller than the sum of its proper divisors (3387135136).

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

2140253024 is a wasteful number, since it uses less digits than its factorization.

2140253024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2140253024 is about 46262.8687394113. The cubic root of 2140253024 is about 1288.7095289502.

Adding to 2140253024 its reverse (4203520412), we get a palindrome (6343773436).

The spelling of 2140253024 in words is "two billion, one hundred forty million, two hundred fifty-three thousand, twenty-four".