2252431424250 has 288 divisors, whose sum is σ = 7164591529680. Its totient is φ = 509054515200.

The previous prime is 2252431424239. The next prime is 2252431424267. The reversal of 2252431424250 is 524241342522.

2252431424250 is a `hidden beast` number, since 2 + 2 + 52 + 4 + 314 + 242 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186108548409 + 2066322875841 = 431403^2 + 1437471^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9697474 + ... + 9927026.

Almost surely, 2^{2252431424250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252431424250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582295764840).

2252431424250 is an abundant number, since it is smaller than the sum of its proper divisors (4912160105430).

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

2252431424250 is a wasteful number, since it uses less digits than its factorization.

2252431424250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229679 (or 229659 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 2252431424250 its reverse (524241342522), we get a palindrome (2776672766772).

The spelling of 2252431424250 in words is "two trillion, two hundred fifty-two billion, four hundred thirty-one million, four hundred twenty-four thousand, two hundred fifty".