2521264641 has 32 divisors (see below), whose sum is σ = 4112716800. Its totient is φ = 1341748800.

The previous prime is 2521264601. The next prime is 2521264651. The reversal of 2521264641 is 1464621252.

It is not a de Polignac number, because 2521264641 - 2⁷ = 2521264513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2521264601) 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, 30010 + ... + 77091.

It is an arithmetic number, because the mean of its divisors is an integer number (128522400).

Almost surely, 2^2521264641 is an apocalyptic number.

2521264641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2521264641 is a deficient number, since it is larger than the sum of its proper divisors (1591452159).

2521264641 is a wasteful number, since it uses less digits than its factorization.

2521264641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107189.

The product of its digits is 23040, while the sum is 33.

The square root of 2521264641 is about 50212.1961379902. The cubic root of 2521264641 is about 1361.0460235836.

Adding to 2521264641 its reverse (1464621252), we get a palindrome (3985885893).

The spelling of 2521264641 in words is "two billion, five hundred twenty-one million, two hundred sixty-four thousand, six hundred forty-one".