252320242232040 has 256 divisors, whose sum is σ = 814692061728000. Its totient is φ = 62284301844480.

The previous prime is 252320242231999. The next prime is 252320242232117. The reversal of 252320242232040 is 40232242023252.

It is a happy number.

It is a super-2 number, since 2×252320242232040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252320242231992 and 252320242232010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1700896191 + ... + 1701044529.

It is an arithmetic number, because the mean of its divisors is an integer number (3182390866125).

Almost surely, 2^{252320242232040} is an apocalyptic number.

252320242232040 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 252320242232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407346030864000).

252320242232040 is an abundant number, since it is smaller than the sum of its proper divisors (562371819495960).

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

252320242232040 is a wasteful number, since it uses less digits than its factorization.

252320242232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162100 (or 162096 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 252320242232040 its reverse (40232242023252), we get a palindrome (292552484255292).

The spelling of 252320242232040 in words is "two hundred fifty-two trillion, three hundred twenty billion, two hundred forty-two million, two hundred thirty-two thousand, forty".