2549741068800 has 1080 divisors, whose sum is σ = 9603560642676. Its totient is φ = 670771445760.

The previous prime is 2549741068789. The next prime is 2549741068817. The reversal of 2549741068800 is 88601479452.

It is a happy number.

2549741068800 is a `hidden beast` number, since 2 + 5 + 4 + 97 + 410 + 68 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 175232657664 + 2374508411136 = 418608^2 + 1540944^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8146137444 + ... + 8146137756.

Almost surely, 2^{2549741068800} is an apocalyptic number.

2549741068800 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 2549741068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801780321338).

2549741068800 is an abundant number, since it is smaller than the sum of its proper divisors (7053819573876).

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

2549741068800 is an frugal number, since it uses more digits than its factorization.

2549741068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2549741068800 in words is "two trillion, five hundred forty-nine billion, seven hundred forty-one million, sixty-eight thousand, eight hundred".