2456082944 has 80 divisors (see below), whose sum is σ = 5739210048. Its totient is φ = 1028063232.

The previous prime is 2456082931. The next prime is 2456082947. The reversal of 2456082944 is 4492806542.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2456082895 and 2456082904.

It is not an unprimeable number, because it can be changed into a prime (2456082947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 146144 + ... + 162080.

Almost surely, 2^2456082944 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 2456082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869605024).

2456082944 is an abundant number, since it is smaller than the sum of its proper divisors (3283127104).

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

2456082944 is an equidigital number, since it uses as much as digits as its factorization.

2456082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 15989 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 2456082944 is about 49558.8836032451. The cubic root of 2456082944 is about 1349.2145305510.

The spelling of 2456082944 in words is "two billion, four hundred fifty-six million, eighty-two thousand, nine hundred forty-four".