2506905 has 48 divisors (see below), whose sum is σ = 4801680. Its totient is φ = 1204224.

The previous prime is 2506883. The next prime is 2506909. The reversal of 2506905 is 5096052.

2506905 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 8 ways, for example, as 138384 + 2368521 = 372^2 + 1539^2 .

It is not a de Polignac number, because 2506905 - 2⁵ = 2506873 is a prime.

It is an Ulam number.

2506905 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22129 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

2^2506905 is an apocalyptic number.

It is an amenable number.

2506905 is a deficient number, since it is larger than the sum of its proper divisors (2294775).

2506905 is a wasteful number, since it uses less digits than its factorization.

2506905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2506905 is about 1583.3208771440. The cubic root of 2506905 is about 135.8457196562.

The spelling of 2506905 in words is "two million, five hundred six thousand, nine hundred five".