2509845 has 32 divisors (see below), whose sum is σ = 4416384. Its totient is φ = 1209600.

The previous prime is 2509841. The next prime is 2509849. The reversal of 2509845 is 5489052.

It is an interprime number because it is at equal distance from previous prime (2509841) and next prime (2509849).

It is not a de Polignac number, because 2509845 - 2² = 2509841 is a prime.

It is an Ulam number.

2509845 is an undulating number in base 14.

2509845 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11790 + ... + 12000.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

2^2509845 is an apocalyptic number.

2509845 is the 915-th octagonal number.

It is an amenable number.

2509845 is a deficient number, since it is larger than the sum of its proper divisors (1906539).

2509845 is a wasteful number, since it uses less digits than its factorization.

2509845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2509845 is about 1584.2490334540. The cubic root of 2509845 is about 135.8988037565.

Multiplying 2509845 by its sum of digits (33), we get a triangular number (82824885 = T₁₂₈₇₀).

The spelling of 2509845 in words is "two million, five hundred nine thousand, eight hundred forty-five".