2442981695616 has 768 divisors, whose sum is σ = 9035164569600. Its totient is φ = 615250944000.

The previous prime is 2442981695543. The next prime is 2442981695653. The reversal of 2442981695616 is 6165961892442.

2442981695616 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 9 + 8 + 1 + 6 + 9 + 5 + 616 = 666.

It is a super-2 number, since 2×2442981695616² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384173845 + ... + 384180203.

It is an arithmetic number, because the mean of its divisors is an integer number (11764537200).

Almost surely, 2^{2442981695616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442981695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517582284800).

2442981695616 is an abundant number, since it is smaller than the sum of its proper divisors (6592182873984).

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

2442981695616 is a wasteful number, since it uses less digits than its factorization.

2442981695616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6514 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 2442981695616 in words is "two trillion, four hundred forty-two billion, nine hundred eighty-one million, six hundred ninety-five thousand, six hundred sixteen".