2506395 has 16 divisors (see below), whose sum is σ = 4246560. Its totient is φ = 1257984.

The previous prime is 2506391. The next prime is 2506397. The reversal of 2506395 is 5936052.

It is not a de Polignac number, because 2506395 - 2² = 2506391 is a prime.

2506395 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2506391) 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 15 ways as a sum of consecutive naturals, for example, 4660 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (265410).

2^2506395 is an apocalyptic number.

2506395 is a deficient number, since it is larger than the sum of its proper divisors (1740165).

2506395 is a wasteful number, since it uses less digits than its factorization.

2506395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 2506395 is about 1583.1598150534. The cubic root of 2506395 is about 135.8365069662.

The spelling of 2506395 in words is "two million, five hundred six thousand, three hundred ninety-five".