2544046944 has 96 divisors (see below), whose sum is σ = 6810168960. Its totient is φ = 831409152.

The previous prime is 2544046931. The next prime is 2544046979. The reversal of 2544046944 is 4496404452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2544046896 and 2544046905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106404 + ... + 1108700.

It is an arithmetic number, because the mean of its divisors is an integer number (70939260).

Almost surely, 2^2544046944 is an apocalyptic number.

2544046944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405084480).

2544046944 is an abundant number, since it is smaller than the sum of its proper divisors (4266122016).

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

2544046944 is a wasteful number, since it uses less digits than its factorization.

2544046944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 2544046944 is about 50438.5462121977. The cubic root of 2544046944 is about 1365.1332360654.

The spelling of 2544046944 in words is "two billion, five hundred forty-four million, forty-six thousand, nine hundred forty-four".