2448047742 has 192 divisors, whose sum is σ = 6310748160. Its totient is φ = 628689600.

The previous prime is 2448047741. The next prime is 2448047759. The reversal of 2448047742 is 2477408442.

It is a super-2 number, since 2×2448047742² = 11985875494222597128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2448047694 and 2448047703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448047741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11602017 + ... + 11602227.

It is an arithmetic number, because the mean of its divisors is an integer number (32868480).

Almost surely, 2^2448047742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2448047742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155374080).

2448047742 is an abundant number, since it is smaller than the sum of its proper divisors (3862700418).

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

2448047742 is a wasteful number, since it uses less digits than its factorization.

2448047742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The square root of 2448047742 is about 49477.7499690517. The cubic root of 2448047742 is about 1347.7415814685.

The spelling of 2448047742 in words is "two billion, four hundred forty-eight million, forty-seven thousand, seven hundred forty-two".