2541129768 has 96 divisors (see below), whose sum is σ = 7478265600. Its totient is φ = 776563200.

The previous prime is 2541129713. The next prime is 2541129779. The reversal of 2541129768 is 8679211452.

2541129768 is a `hidden beast` number, since 2 + 541 + 12 + 97 + 6 + 8 = 666.

It is a super-3 number, since 3×2541129768³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12448 + ... + 72368.

It is an arithmetic number, because the mean of its divisors is an integer number (77898600).

Almost surely, 2^2541129768 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 2541129768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739132800).

2541129768 is an abundant number, since it is smaller than the sum of its proper divisors (4937135832).

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

2541129768 is a wasteful number, since it uses less digits than its factorization.

2541129768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59983 (or 59976 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2541129768 is about 50409.6197962254. The cubic root of 2541129768 is about 1364.6112518530.

The spelling of 2541129768 in words is "two billion, five hundred forty-one million, one hundred twenty-nine thousand, seven hundred sixty-eight".