252140240 has 80 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 91123200.

The previous prime is 252140227. The next prime is 252140249. The reversal of 252140240 is 42041252.

It is a happy number.

252140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252140249) 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, 158489 + ... + 160071.

Almost surely, 2^252140240 is an apocalyptic number.

252140240 is a gapful number since it is divisible by the number (20) 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 252140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

252140240 is an abundant number, since it is smaller than the sum of its proper divisors (391318576).

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

252140240 is a wasteful number, since it uses less digits than its factorization.

252140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 252140240 is about 15878.9243968223. The cubic root of 252140240 is about 631.7531081785.

Adding to 252140240 its reverse (42041252), we get a palindrome (294181492).

The spelling of 252140240 in words is "two hundred fifty-two million, one hundred forty thousand, two hundred forty".