2541140334040 has 256 divisors, whose sum is σ = 7612086067200. Its totient is φ = 740062310400.

The previous prime is 2541140333993. The next prime is 2541140334059. The reversal of 2541140334040 is 404330411452.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2541140333993 and 2541140334011.

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, 2310052 + ... + 3227788.

It is an arithmetic number, because the mean of its divisors is an integer number (29734711200).

Almost surely, 2^{2541140334040} is an apocalyptic number.

2541140334040 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 2541140334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806043033600).

2541140334040 is an abundant number, since it is smaller than the sum of its proper divisors (5070945733160).

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

2541140334040 is a wasteful number, since it uses less digits than its factorization.

2541140334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917826 (or 917822 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 2541140334040 its reverse (404330411452), we get a palindrome (2945470745492).

The spelling of 2541140334040 in words is "two trillion, five hundred forty-one billion, one hundred forty million, three hundred thirty-four thousand, forty".