240505253200 has 120 divisors (see below), whose sum is σ = 585476372600. Its totient is φ = 94932172800.

The previous prime is 240505253179. The next prime is 240505253201. The reversal of 240505253200 is 2352505042.

It can be written as a sum of positive squares in 12 ways, for example, as 57865264704 + 182639988496 = 240552^2 + 427364^2 .

It is a super-2 number, since 2×240505253200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240505253201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13532320 + ... + 13550080.

Almost surely, 2^240505253200 is an apocalyptic number.

240505253200 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 240505253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292738186300).

240505253200 is an abundant number, since it is smaller than the sum of its proper divisors (344971119400).

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

240505253200 is a wasteful number, since it uses less digits than its factorization.

240505253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 240505253200 its reverse (2352505042), we get a palindrome (242857758242).

The spelling of 240505253200 in words is "two hundred forty billion, five hundred five million, two hundred fifty-three thousand, two hundred".