2509834 has 16 divisors (see below), whose sum is σ = 3940200. Its totient is φ = 1197504.

The previous prime is 2509831. The next prime is 2509841. The reversal of 2509834 is 4389052.

It can be written as a sum of positive squares in 4 ways, for example, as 2418025 + 91809 = 1555^2 + 303^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2509796 and 2509805.

It is not an unprimeable number, because it can be changed into a prime (2509831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6124 + ... + 6520.

2^2509834 is an apocalyptic number.

2509834 is a deficient number, since it is larger than the sum of its proper divisors (1430366).

2509834 is a wasteful number, since it uses less digits than its factorization.

2509834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2509834 is about 1584.2455617738. The cubic root of 2509834 is about 135.8986052198.

The spelling of 2509834 in words is "two million, five hundred nine thousand, eight hundred thirty-four".