252745267040 has 192 divisors, whose sum is σ = 688586572800. Its totient is φ = 85874288640.

The previous prime is 252745267007. The next prime is 252745267043. The reversal of 252745267040 is 40762547252.

It is a super-2 number, since 2×252745267040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252745266982 and 252745267000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252745267043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83939135 + ... + 83942145.

It is an arithmetic number, because the mean of its divisors is an integer number (3586388400).

Almost surely, 2^252745267040 is an apocalyptic number.

252745267040 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 252745267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344293286400).

252745267040 is an abundant number, since it is smaller than the sum of its proper divisors (435841305760).

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

252745267040 is a wasteful number, since it uses less digits than its factorization.

252745267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 252745267040 in words is "two hundred fifty-two billion, seven hundred forty-five million, two hundred sixty-seven thousand, forty".