2509265 has 16 divisors (see below), whose sum is σ = 3364416. Its totient is φ = 1780800.

The previous prime is 2509259. The next prime is 2509267. The reversal of 2509265 is 5629052.

It is not a de Polignac number, because 2509265 - 2¹⁶ = 2443729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2509267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (210276).

2^2509265 is an apocalyptic number.

It is an amenable number.

2509265 is a deficient number, since it is larger than the sum of its proper divisors (855151).

2509265 is a wasteful number, since it uses less digits than its factorization.

2509265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 2509265 is about 1584.0659708484. The cubic root of 2509265 is about 135.8883346666. Note that the first 3 decimals are identical.

The spelling of 2509265 in words is "two million, five hundred nine thousand, two hundred sixty-five".