2442097445760 has 384 divisors, whose sum is σ = 9948457359360. Its totient is φ = 540187176960.

The previous prime is 2442097445743. The next prime is 2442097445789. The reversal of 2442097445760 is 675447902442.

2442097445760 is a `hidden beast` number, since 2 + 4 + 4 + 20 + 9 + 7 + 44 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2442097445760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442097445697 and 2442097445706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273019 + ... + 2226821.

It is an arithmetic number, because the mean of its divisors is an integer number (25907441040).

Almost surely, 2^{2442097445760} is an apocalyptic number.

2442097445760 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 2442097445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974228679680).

2442097445760 is an abundant number, since it is smaller than the sum of its proper divisors (7506359913600).

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

2442097445760 is a wasteful number, since it uses less digits than its factorization.

2442097445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953866 (or 1953851 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2442097445760 in words is "two trillion, four hundred forty-two billion, ninety-seven million, four hundred forty-five thousand, seven hundred sixty".