252245623140 has 576 divisors, whose sum is σ = 916787289600. Its totient is φ = 56093506560.

The previous prime is 252245623129. The next prime is 252245623159. The reversal of 252245623140 is 41326542252.

252245623140 is a `hidden beast` number, since 2 + 5 + 2 + 24 + 5 + 623 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252245623095 and 252245623104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 513738295 + ... + 513738785.

It is an arithmetic number, because the mean of its divisors is an integer number (1591644600).

Almost surely, 2^252245623140 is an apocalyptic number.

252245623140 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 252245623140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458393644800).

252245623140 is an abundant number, since it is smaller than the sum of its proper divisors (664541666460).

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

252245623140 is a wasteful number, since it uses less digits than its factorization.

252245623140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 252245623140 in words is "two hundred fifty-two billion, two hundred forty-five million, six hundred twenty-three thousand, one hundred forty".