2544002560 has 160 divisors (see below), whose sum is σ = 6767807904. Its totient is φ = 909312000.

The previous prime is 2544002497. The next prime is 2544002567. The reversal of 2544002560 is 652004452.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544002567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717020 + ... + 1718500.

Almost surely, 2^2544002560 is an apocalyptic number.

2544002560 is a gapful number since it is divisible by the number (20) 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 2544002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383903952).

2544002560 is an abundant number, since it is smaller than the sum of its proper divisors (4223805344).

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

2544002560 is a wasteful number, since it uses less digits than its factorization.

2544002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2544002560 is about 50438.1062293183. The cubic root of 2544002560 is about 1365.1252972148.

The spelling of 2544002560 in words is "two billion, five hundred forty-four million, two thousand, five hundred sixty".