2544562944 has 432 divisors, whose sum is σ = 9562976640. Its totient is φ = 659957760.

The previous prime is 2544562919. The next prime is 2544562961. The reversal of 2544562944 is 4492654452.

It is a happy number.

2544562944 is a `hidden beast` number, since 2 + 5 + 44 + 562 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 2544562944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725227 + ... + 3725909.

It is an arithmetic number, because the mean of its divisors is an integer number (22136520).

Almost surely, 2^2544562944 is an apocalyptic number.

2544562944 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 2544562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781488320).

2544562944 is an abundant number, since it is smaller than the sum of its proper divisors (7018413696).

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

2544562944 is a wasteful number, since it uses less digits than its factorization.

2544562944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 706 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2544562944 is about 50443.6610883865. The cubic root of 2544562944 is about 1365.2255248670.

The spelling of 2544562944 in words is "two billion, five hundred forty-four million, five hundred sixty-two thousand, nine hundred forty-four".