2409264 has 150 divisors (see below), whose sum is σ = 8237196. Its totient is φ = 673920.

The previous prime is 2409259. The next prime is 2409269. The reversal of 2409264 is 4629042.

It is an interprime number because it is at equal distance from previous prime (2409259) and next prime (2409269).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2409269) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 185322 + ... + 185334.

2^2409264 is an apocalyptic number.

2409264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118598).

2409264 is an abundant number, since it is smaller than the sum of its proper divisors (5827932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2409264 is a wasteful number, since it uses less digits than its factorization.

2409264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2409264 is about 1552.1804018863. The cubic root of 2409264 is about 134.0586362523.

The spelling of 2409264 in words is "two million, four hundred nine thousand, two hundred sixty-four".