2544121011540 has 192 divisors, whose sum is σ = 7270771092480. Its totient is φ = 664562426880.

The previous prime is 2544121011539. The next prime is 2544121011559. The reversal of 2544121011540 is 451101214452.

2544121011540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2544121011498 and 2544121011507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655530400 + ... + 655534280.

It is an arithmetic number, because the mean of its divisors is an integer number (37868599440).

Almost surely, 2^{2544121011540} is an apocalyptic number.

2544121011540 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 2544121011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635385546240).

2544121011540 is an abundant number, since it is smaller than the sum of its proper divisors (4726650080940).

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

2544121011540 is a wasteful number, since it uses less digits than its factorization.

2544121011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 2544121011540 its reverse (451101214452), we get a palindrome (2995222225992).

The spelling of 2544121011540 in words is "two trillion, five hundred forty-four billion, one hundred twenty-one million, eleven thousand, five hundred forty".