2544490368 has 512 divisors, whose sum is σ = 9517824000. Its totient is φ = 652050432.

The previous prime is 2544490367. The next prime is 2544490397. The reversal of 2544490368 is 8630944452.

2544490368 is a `hidden beast` number, since 2 + 544 + 49 + 0 + 3 + 68 = 666.

2544490368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544490367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9458938 + ... + 9459206.

It is an arithmetic number, because the mean of its divisors is an integer number (18589500).

Almost surely, 2^2544490368 is an apocalyptic number.

2544490368 is a gapful number since it is divisible by the number (28) 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 2544490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758912000).

2544490368 is an abundant number, since it is smaller than the sum of its proper divisors (6973333632).

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

2544490368 is a wasteful number, since it uses less digits than its factorization.

2544490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2544490368 is about 50442.9417064469. The cubic root of 2544490368 is about 1365.2125450938.

The spelling of 2544490368 in words is "two billion, five hundred forty-four million, four hundred ninety thousand, three hundred sixty-eight".