240253200000 has 576 divisors, whose sum is σ = 942849966240. Its totient is φ = 58233600000.

The previous prime is 240253199993. The next prime is 240253200017. The reversal of 240253200000 is 2352042.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×240253200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39596967 + ... + 39603033.

Almost surely, 2^240253200000 is an apocalyptic number.

240253200000 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 240253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471424983120).

240253200000 is an abundant number, since it is smaller than the sum of its proper divisors (702596766240).

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

240253200000 is an equidigital number, since it uses as much as digits as its factorization.

240253200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 240253200000 its reverse (2352042), we get a palindrome (240255552042).

The spelling of 240253200000 in words is "two hundred forty billion, two hundred fifty-three million, two hundred thousand".