2426456448 has 384 divisors, whose sum is σ = 8041924800. Its totient is φ = 696729600.

The previous prime is 2426456429. The next prime is 2426456467. The reversal of 2426456448 is 8446546242.

2426456448 is a `hidden beast` number, since 2 + 42 + 6 + 4 + 564 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2426456429) and next prime (2426456467).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16069173 + ... + 16069323.

Almost surely, 2^2426456448 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 2426456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020962400).

2426456448 is an abundant number, since it is smaller than the sum of its proper divisors (5615468352).

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

2426456448 is a wasteful number, since it uses less digits than its factorization.

2426456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 2426456448 is about 49259.0747781564. The cubic root of 2426456448 is about 1343.7676043758.

The spelling of 2426456448 in words is "two billion, four hundred twenty-six million, four hundred fifty-six thousand, four hundred forty-eight".