2509472 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 1010688.

The previous prime is 2509433. The next prime is 2509483. The reversal of 2509472 is 2749052.

2509472 = T₂₃ + T₂₄ + ... + T₂₄₆.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3479 + ... + 4137.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

2^2509472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2509472 is an abundant number, since it is smaller than the sum of its proper divisors (3478048).

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

2509472 is a wasteful number, since it uses less digits than its factorization.

2509472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2509472 is about 1584.1313076889. The cubic root of 2509472 is about 135.8920712338.

The spelling of 2509472 in words is "two million, five hundred nine thousand, four hundred seventy-two".