2541163968 has 224 divisors, whose sum is σ = 8987942400. Its totient is φ = 687771648.

The previous prime is 2541163951. The next prime is 2541163981. The reversal of 2541163968 is 8693611452.

2541163968 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 1 + 639 + 6 + 8 = 666.

2541163968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224296 + ... + 235352.

Almost surely, 2^2541163968 is an apocalyptic number.

2541163968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493971200).

2541163968 is an abundant number, since it is smaller than the sum of its proper divisors (6446778432).

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

2541163968 is a wasteful number, since it uses less digits than its factorization.

2541163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11088 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2541163968 is about 50409.9590160516. The cubic root of 2541163968 is about 1364.6173737357.

The spelling of 2541163968 in words is "two billion, five hundred forty-one million, one hundred sixty-three thousand, nine hundred sixty-eight".