2456066944 has 64 divisors (see below), whose sum is σ = 4987946880. Its totient is φ = 1204416000.

The previous prime is 2456066929. The next prime is 2456066947. The reversal of 2456066944 is 4496606542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2456066894 and 2456066903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456066947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603459 + ... + 1604989.

It is an arithmetic number, because the mean of its divisors is an integer number (77936670).

Almost surely, 2^2456066944 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 2456066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493973440).

2456066944 is an abundant number, since it is smaller than the sum of its proper divisors (2531879936).

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

2456066944 is a wasteful number, since it uses less digits than its factorization.

2456066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The square root of 2456066944 is about 49558.7221788456. The cubic root of 2456066944 is about 1349.2116007532.

The spelling of 2456066944 in words is "two billion, four hundred fifty-six million, sixty-six thousand, nine hundred forty-four".