2541534794344 has 256 divisors, whose sum is σ = 6273873446400. Its totient is φ = 937145106432.

The previous prime is 2541534794333. The next prime is 2541534794431. The reversal of 2541534794344 is 4434974351452.

It is a super-2 number, since 2×2541534794344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437212782 + ... + 437218594.

It is an arithmetic number, because the mean of its divisors is an integer number (24507318150).

Almost surely, 2^{2541534794344} 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 2541534794344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136936723200).

2541534794344 is an abundant number, since it is smaller than the sum of its proper divisors (3732338652056).

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

2541534794344 is a wasteful number, since it uses less digits than its factorization.

2541534794344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6360 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 55.

The spelling of 2541534794344 in words is "two trillion, five hundred forty-one billion, five hundred thirty-four million, seven hundred ninety-four thousand, three hundred forty-four".