2481301773144 has 256 divisors, whose sum is σ = 7393289904000. Its totient is φ = 777895114752.

The previous prime is 2481301773143. The next prime is 2481301773187. The reversal of 2481301773144 is 4413771031842.

2481301773144 is a `hidden beast` number, since 2 + 481 + 30 + 1 + 77 + 31 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2481301773144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481301773143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686768682 + ... + 686772294.

Almost surely, 2^{2481301773144} is an apocalyptic number.

2481301773144 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 2481301773144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696644952000).

2481301773144 is an abundant number, since it is smaller than the sum of its proper divisors (4911988130856).

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

2481301773144 is a wasteful number, since it uses less digits than its factorization.

2481301773144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2481301773144 in words is "two trillion, four hundred eighty-one billion, three hundred one million, seven hundred seventy-three thousand, one hundred forty-four".