2442059678736 has 320 divisors, whose sum is σ = 7365882839040. Its totient is φ = 773905466880.

The previous prime is 2442059678719. The next prime is 2442059678761. The reversal of 2442059678736 is 6378769502442.

2442059678736 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 0 + 596 + 7 + 8 + 7 + 36 = 666.

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, 125025291 + ... + 125044821.

It is an arithmetic number, because the mean of its divisors is an integer number (23018383872).

Almost surely, 2^{2442059678736} 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 2442059678736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682941419520).

2442059678736 is an abundant number, since it is smaller than the sum of its proper divisors (4923823160304).

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

2442059678736 is a wasteful number, since it uses less digits than its factorization.

2442059678736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19771 (or 19759 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 2442059678736 in words is "two trillion, four hundred forty-two billion, fifty-nine million, six hundred seventy-eight thousand, seven hundred thirty-six".