2442305986560 has 672 divisors, whose sum is σ = 9578289232512. Its totient is φ = 592047636480.

The previous prime is 2442305986531. The next prime is 2442305986583. The reversal of 2442305986560 is 656895032442.

2442305986560 is a `hidden beast` number, since 2 + 4 + 4 + 23 + 0 + 59 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2442305986497 and 2442305986506.

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, 109474927 + ... + 109497233.

It is an arithmetic number, because the mean of its divisors is an integer number (14253406596).

Almost surely, 2^{2442305986560} is an apocalyptic number.

2442305986560 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 2442305986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789144616256).

2442305986560 is an abundant number, since it is smaller than the sum of its proper divisors (7135983245952).

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

2442305986560 is an equidigital number, since it uses as much as digits as its factorization.

2442305986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22364 (or 22328 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2442305986560 in words is "two trillion, four hundred forty-two billion, three hundred five million, nine hundred eighty-six thousand, five hundred sixty".