2541528464 has 20 divisors (see below), whose sum is σ = 5183381040. Its totient is φ = 1203881760.

The previous prime is 2541528449. The next prime is 2541528467. The reversal of 2541528464 is 4648251452.

2541528464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2541528467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4179842 + ... + 4180449.

It is an arithmetic number, because the mean of its divisors is an integer number (259169052).

Almost surely, 2^2541528464 is an apocalyptic number.

It is an amenable number.

2541528464 is an abundant number, since it is smaller than the sum of its proper divisors (2641852576).

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

2541528464 is a wasteful number, since it uses less digits than its factorization.

2541528464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360318 (or 8360312 counting only the distinct ones).

The product of its digits is 307200, while the sum is 41.

The square root of 2541528464 is about 50413.5742037797. The cubic root of 2541528464 is about 1364.6826159896.

The spelling of 2541528464 in words is "two billion, five hundred forty-one million, five hundred twenty-eight thousand, four hundred sixty-four".