2544342040240 has 960 divisors, whose sum is σ = 8656320960000. Its totient is φ = 681587343360.

The previous prime is 2544342040237. The next prime is 2544342040309. The reversal of 2544342040240 is 420402434452.

It is a junction number, because it is equal to n+sod(n) for n = 2544342040196 and 2544342040205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 628385736 + ... + 628389784.

It is an arithmetic number, because the mean of its divisors is an integer number (9017001000).

Almost surely, 2^{2544342040240} is an apocalyptic number.

2544342040240 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 2544342040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328160480000).

2544342040240 is an abundant number, since it is smaller than the sum of its proper divisors (6111978919760).

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

2544342040240 is a wasteful number, since it uses less digits than its factorization.

2544342040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 2544342040240 its reverse (420402434452), we get a palindrome (2964744474692).

The spelling of 2544342040240 in words is "two trillion, five hundred forty-four billion, three hundred forty-two million, forty thousand, two hundred forty".