2541074298336 has 1728 divisors, whose sum is σ = 9662524784640. Its totient is φ = 618350008320.

The previous prime is 2541074298331. The next prime is 2541074298337. The reversal of 2541074298336 is 6338924701452.

2541074298336 is a `hidden beast` number, since 2 + 5 + 4 + 10 + 7 + 4 + 298 + 336 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541074298331) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30615352951 + ... + 30615353033.

It is an arithmetic number, because the mean of its divisors is an integer number (5591738880).

It is a 1-persistent number, because it is pandigital, but 2⋅2541074298336 = 5082148596672 is not.

Almost surely, 2^{2541074298336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541074298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831262392320).

2541074298336 is an abundant number, since it is smaller than the sum of its proper divisors (7121450486304).

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

2541074298336 is a wasteful number, since it uses less digits than its factorization.

2541074298336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

Adding to 2541074298336 its reverse (6338924701452), we get a palindrome (8879998999788).

The spelling of 2541074298336 in words is "two trillion, five hundred forty-one billion, seventy-four million, two hundred ninety-eight thousand, three hundred thirty-six".