2544273946368 has 1728 divisors, whose sum is σ = 10099845504000. Its totient is φ = 616625602560.

The previous prime is 2544273946271. The next prime is 2544273946369. The reversal of 2544273946368 is 8636493724452.

It is a happy number.

2544273946368 is a `hidden beast` number, since 2 + 5 + 4 + 42 + 73 + 9 + 463 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544273946369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9899898496 + ... + 9899898752.

It is an arithmetic number, because the mean of its divisors is an integer number (5844818000).

Almost surely, 2^{2544273946368} is an apocalyptic number.

2544273946368 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 2544273946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049922752000).

2544273946368 is an abundant number, since it is smaller than the sum of its proper divisors (7555571557632).

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

2544273946368 is a wasteful number, since it uses less digits than its factorization.

2544273946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 2544273946368 in words is "two trillion, five hundred forty-four billion, two hundred seventy-three million, nine hundred forty-six thousand, three hundred sixty-eight".