2528144001 has 32 divisors (see below), whose sum is σ = 3970961280. Its totient is φ = 1584188928.

The previous prime is 2528143997. The next prime is 2528144011. The reversal of 2528144001 is 1004418252.

2528144001 is a `hidden beast` number, since 252 + 8 + 1 + 4 + 400 + 1 = 666.

It is not a de Polignac number, because 2528144001 - 2² = 2528143997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2528144011) 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 31 ways as a sum of consecutive naturals, for example, 390150 + ... + 396576.

It is an arithmetic number, because the mean of its divisors is an integer number (124092540).

Almost surely, 2^2528144001 is an apocalyptic number.

It is an amenable number.

2528144001 is a deficient number, since it is larger than the sum of its proper divisors (1442817279).

2528144001 is a wasteful number, since it uses less digits than its factorization.

2528144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2528144001 is about 50280.6523525700. The cubic root of 2528144001 is about 1362.2827868641.

The spelling of 2528144001 in words is "two billion, five hundred twenty-eight million, one hundred forty-four thousand, one".