2456193456 has 160 divisors (see below), whose sum is σ = 7558891200. Its totient is φ = 770383872.

The previous prime is 2456193451. The next prime is 2456193511. The reversal of 2456193456 is 6543916542.

2456193456 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 193 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (2456193451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592800 + ... + 596928.

It is an arithmetic number, because the mean of its divisors is an integer number (47243070).

Almost surely, 2^2456193456 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 2456193456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779445600).

2456193456 is an abundant number, since it is smaller than the sum of its proper divisors (5102697744).

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

2456193456 is an equidigital number, since it uses as much as digits as its factorization.

2456193456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4151 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2456193456 is about 49559.9985472155. The cubic root of 2456193456 is about 1349.2347663171.

The spelling of 2456193456 in words is "two billion, four hundred fifty-six million, one hundred ninety-three thousand, four hundred fifty-six".