2506560441 has 16 divisors (see below), whose sum is σ = 4166750208. Its totient is φ = 1302109200.

The previous prime is 2506560439. The next prime is 2506560443. The reversal of 2506560441 is 1440656052.

It is an interprime number because it is at equal distance from previous prime (2506560439) and next prime (2506560443).

It is not a de Polignac number, because 2506560441 - 2¹ = 2506560439 is a prime.

It is a super-2 number, since 2×2506560441² = 12565690488772228962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2506560443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5425225 + ... + 5425686.

It is an arithmetic number, because the mean of its divisors is an integer number (260421888).

Almost surely, 2^2506560441 is an apocalyptic number.

2506560441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2506560441 is a deficient number, since it is larger than the sum of its proper divisors (1660189767).

2506560441 is a wasteful number, since it uses less digits than its factorization.

2506560441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850932.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2506560441 is about 50065.5614269929. The cubic root of 2506560441 is about 1358.3949564559.

The spelling of 2506560441 in words is "two billion, five hundred six million, five hundred sixty thousand, four hundred forty-one".