252114240 has 112 divisors (see below), whose sum is σ = 914838912. Its totient is φ = 57624576.

The previous prime is 252114223. The next prime is 252114241. The reversal of 252114240 is 42411252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252114241) 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 15 ways as a sum of consecutive naturals, for example, 12039 + ... + 25478.

Almost surely, 2^252114240 is an apocalyptic number.

252114240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252114240 is an abundant number, since it is smaller than the sum of its proper divisors (662724672).

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

252114240 is a wasteful number, since it uses less digits than its factorization.

252114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37544 (or 37534 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252114240 is about 15878.1056804645. The cubic root of 252114240 is about 631.7313925578.

Adding to 252114240 its reverse (42411252), we get a palindrome (294525492).

It can be divided in two parts, 2521 and 14240, that added together give a palindrome (16761).

The spelling of 252114240 in words is "two hundred fifty-two million, one hundred fourteen thousand, two hundred forty".