2252523405000 has 320 divisors, whose sum is σ = 7781800276800. Its totient is φ = 538583040000.

The previous prime is 2252523404863. The next prime is 2252523405029. The reversal of 2252523405000 is 5043252522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11951496 + ... + 12138504.

It is an arithmetic number, because the mean of its divisors is an integer number (24318125865).

Almost surely, 2^{2252523405000} is an apocalyptic number.

2252523405000 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 2252523405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890900138400).

2252523405000 is an abundant number, since it is smaller than the sum of its proper divisors (5529276871800).

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

2252523405000 is a wasteful number, since it uses less digits than its factorization.

2252523405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187122 (or 187103 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 2252523405000 its reverse (5043252522), we get a palindrome (2257566657522).

The spelling of 2252523405000 in words is "two trillion, two hundred fifty-two billion, five hundred twenty-three million, four hundred five thousand".