2506385 has 16 divisors (see below), whose sum is σ = 3619200. Its totient is φ = 1627776.

The previous prime is 2506373. The next prime is 2506391. The reversal of 2506385 is 5836052.

2506385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2506385 - 2⁶ = 2506321 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (226200).

2^2506385 is an apocalyptic number.

It is an amenable number.

2506385 is a deficient number, since it is larger than the sum of its proper divisors (1112815).

2506385 is a wasteful number, since it uses less digits than its factorization.

2506385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2506385 is about 1583.1566568094. The cubic root of 2506385 is about 135.8363263127.

The spelling of 2506385 in words is "two million, five hundred six thousand, three hundred eighty-five".