2544045504 has 672 divisors, whose sum is σ = 9651382272. Its totient is φ = 580608000.

The previous prime is 2544045437. The next prime is 2544045541. The reversal of 2544045504 is 4055404452.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2544045504² = 12944335052845228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41705634 + ... + 41705694.

It is an arithmetic number, because the mean of its divisors is an integer number (14362176).

Almost surely, 2^2544045504 is an apocalyptic number.

2544045504 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 2544045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825691136).

2544045504 is an abundant number, since it is smaller than the sum of its proper divisors (7107336768).

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

2544045504 is a wasteful number, since it uses less digits than its factorization.

2544045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 2544045504 is about 50438.5319373988. The cubic root of 2544045504 is about 1365.1329784978.

Adding to 2544045504 its reverse (4055404452), we get a palindrome (6599449956).

The spelling of 2544045504 in words is "two billion, five hundred forty-four million, forty-five thousand, five hundred four".