2442963456 has 320 divisors, whose sum is σ = 7778073600. Its totient is φ = 754790400.

The previous prime is 2442963449. The next prime is 2442963493. The reversal of 2442963456 is 6543692442.

2442963456 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 9 + 634 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18648511 + ... + 18648641.

It is an arithmetic number, because the mean of its divisors is an integer number (24306480).

Almost surely, 2^2442963456 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 2442963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889036800).

2442963456 is an abundant number, since it is smaller than the sum of its proper divisors (5335110144).

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

2442963456 is a wasteful number, since it uses less digits than its factorization.

2442963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 2442963456 is about 49426.3437450111. The cubic root of 2442963456 is about 1346.8079051071.

The spelling of 2442963456 in words is "two billion, four hundred forty-two million, nine hundred sixty-three thousand, four hundred fifty-six".