2441352960 has 432 divisors, whose sum is σ = 8999617536. Its totient is φ = 633360384.

The previous prime is 2441352929. The next prime is 2441352971. The reversal of 2441352960 is 692531442.

It is a happy number.

2441352960 is a `hidden beast` number, since 244 + 1 + 352 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14618797 + ... + 14618963.

It is an arithmetic number, because the mean of its divisors is an integer number (20832448).

Almost surely, 2^2441352960 is an apocalyptic number.

2441352960 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 2441352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2441352960 is an abundant number, since it is smaller than the sum of its proper divisors (6558264576).

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

2441352960 is an equidigital number, since it uses as much as digits as its factorization.

2441352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2441352960 is about 49410.0491803034. The cubic root of 2441352960 is about 1346.5118840936.

The spelling of 2441352960 in words is "two billion, four hundred forty-one million, three hundred fifty-two thousand, nine hundred sixty".