252441337104 has 320 divisors, whose sum is σ = 801157294080. Its totient is φ = 75469294080.

The previous prime is 252441337007. The next prime is 252441337121. The reversal of 252441337104 is 401733144252.

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

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, 155156739 + ... + 155158365.

It is an arithmetic number, because the mean of its divisors is an integer number (2503616544).

Almost surely, 2^252441337104 is an apocalyptic number.

252441337104 is a gapful number since it is divisible by the number (24) 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 252441337104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400578647040).

252441337104 is an abundant number, since it is smaller than the sum of its proper divisors (548715956976).

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

252441337104 is a wasteful number, since it uses less digits than its factorization.

252441337104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 252441337104 in words is "two hundred fifty-two billion, four hundred forty-one million, three hundred thirty-seven thousand, one hundred four".