2541751668 has 72 divisors (see below), whose sum is σ = 6896235528. Its totient is φ = 786475008.

The previous prime is 2541751633. The next prime is 2541751669. The reversal of 2541751668 is 8661571452.

It can be written as a sum of positive squares in 4 ways, for example, as 341954064 + 2199797604 = 18492^2 + 46902^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541751669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16230 + ... + 73122.

It is an arithmetic number, because the mean of its divisors is an integer number (95781049).

Almost surely, 2^2541751668 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 2541751668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448117764).

2541751668 is an abundant number, since it is smaller than the sum of its proper divisors (4354483860).

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

2541751668 is a wasteful number, since it uses less digits than its factorization.

2541751668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56993 (or 56988 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 2541751668 is about 50415.7878843523. The cubic root of 2541751668 is about 1364.7225648769.

The spelling of 2541751668 in words is "two billion, five hundred forty-one million, seven hundred fifty-one thousand, six hundred sixty-eight".