2541613128 has 128 divisors (see below), whose sum is σ = 7019136000. Its totient is φ = 763741440.

The previous prime is 2541613121. The next prime is 2541613133. The reversal of 2541613128 is 8213161452.

It is not an unprimeable number, because it can be changed into a prime (2541613121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937551 + ... + 940257.

It is an arithmetic number, because the mean of its divisors is an integer number (54837000).

Almost surely, 2^2541613128 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 2541613128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509568000).

2541613128 is an abundant number, since it is smaller than the sum of its proper divisors (4477522872).

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

2541613128 is a wasteful number, since it uses less digits than its factorization.

2541613128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2831 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2541613128 is about 50414.4138912672. The cubic root of 2541613128 is about 1364.6977693652.

The spelling of 2541613128 in words is "two billion, five hundred forty-one million, six hundred thirteen thousand, one hundred twenty-eight".