2541581340144 has 480 divisors, whose sum is σ = 8816537705472. Its totient is φ = 616038297600.

The previous prime is 2541581340113. The next prime is 2541581340157. The reversal of 2541581340144 is 4410431851452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2541581340096 and 2541581340105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38305462 + ... + 38371754.

Almost surely, 2^{2541581340144} is an apocalyptic number.

2541581340144 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 2541581340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408268852736).

2541581340144 is an abundant number, since it is smaller than the sum of its proper divisors (6274956365328).

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

2541581340144 is a wasteful number, since it uses less digits than its factorization.

2541581340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66397 (or 66380 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 2541581340144 in words is "two trillion, five hundred forty-one billion, five hundred eighty-one million, three hundred forty thousand, one hundred forty-four".