2557012230144 has 300 divisors, whose sum is σ = 7725426439500. Its totient is φ = 842721656832.

The previous prime is 2557012230139. The next prime is 2557012230203. The reversal of 2557012230144 is 4410322107552.

2557012230144 is a `hidden beast` number, since 2 + 5 + 570 + 12 + 2 + 30 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 709152620544 + 1847859609600 = 842112^2 + 1359360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2557012230099 and 2557012230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118101432 + ... + 118123080.

It is an arithmetic number, because the mean of its divisors is an integer number (25751421465).

Almost surely, 2^{2557012230144} is an apocalyptic number.

2557012230144 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 2557012230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862713219750).

2557012230144 is an abundant number, since it is smaller than the sum of its proper divisors (5168414209356).

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

2557012230144 is an frugal number, since it uses more digits than its factorization.

2557012230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21778 (or 21743 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 2557012230144 its reverse (4410322107552), we get a palindrome (6967334337696).

The spelling of 2557012230144 in words is "two trillion, five hundred fifty-seven billion, twelve million, two hundred thirty thousand, one hundred forty-four".