2544461456 has 40 divisors (see below), whose sum is σ = 5215826880. Its totient is φ = 1199124864.

The previous prime is 2544461453. The next prime is 2544461539. The reversal of 2544461456 is 6541644452.

It is not an unprimeable number, because it can be changed into a prime (2544461453) 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, 38645 + ... + 81131.

It is an arithmetic number, because the mean of its divisors is an integer number (130395672).

Almost surely, 2^2544461456 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 2544461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607913440).

2544461456 is an abundant number, since it is smaller than the sum of its proper divisors (2671365424).

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

2544461456 is a wasteful number, since it uses less digits than its factorization.

2544461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42711 (or 42705 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The square root of 2544461456 is about 50442.6551244084. The cubic root of 2544461456 is about 1365.2073742909.

The spelling of 2544461456 in words is "two billion, five hundred forty-four million, four hundred sixty-one thousand, four hundred fifty-six".