252014140240 has 80 divisors (see below), whose sum is σ = 592753342608. Its totient is φ = 99634987008.

The previous prime is 252014140229. The next prime is 252014140283. The reversal of 252014140240 is 42041410252.

It can be written as a sum of positive squares in 8 ways, for example, as 13155172416 + 238858967824 = 114696^2 + 488732^2 .

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

It is a super-2 number, since 2×252014140240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5977474 + ... + 6019486.

Almost surely, 2^252014140240 is an apocalyptic number.

252014140240 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 252014140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296376671304).

252014140240 is an abundant number, since it is smaller than the sum of its proper divisors (340739202368).

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

252014140240 is a wasteful number, since it uses less digits than its factorization.

252014140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42896 (or 42890 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 252014140240 its reverse (42041410252), we get a palindrome (294055550492).

The spelling of 252014140240 in words is "two hundred fifty-two billion, fourteen million, one hundred forty thousand, two hundred forty".