2541458568 has 64 divisors (see below), whose sum is σ = 6943968000. Its totient is φ = 768726080.

The previous prime is 2541458533. The next prime is 2541458611. The reversal of 2541458568 is 8658541452.

2541458568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2541458568² = 12918023305721221248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140083 + ... + 157181.

It is an arithmetic number, because the mean of its divisors is an integer number (108499500).

Almost surely, 2^2541458568 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 2541458568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471984000).

2541458568 is an abundant number, since it is smaller than the sum of its proper divisors (4402509432).

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

2541458568 is a wasteful number, since it uses less digits than its factorization.

2541458568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17682 (or 17678 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 48.

The square root of 2541458568 is about 50412.8809730212. The cubic root of 2541458568 is about 1364.6701055742.

The spelling of 2541458568 in words is "two billion, five hundred forty-one million, four hundred fifty-eight thousand, five hundred sixty-eight".