2509056 has 135 divisors (see below), whose sum is σ = 8223523. Its totient is φ = 760320.

The previous prime is 2509037. The next prime is 2509061. The reversal of 2509056 is 6509052.

The square root of 2509056 is 1584.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2509056² = 12590724022272, which contains 22 as substring.

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

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

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 228091 + ... + 228101.

2^2509056 is an apocalyptic number.

2509056 is the 1584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509056

2509056 is an abundant number, since it is smaller than the sum of its proper divisors (5714467).

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

2509056 is an equidigital number, since it uses as much as digits as its factorization.

2509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 2509056 is about 135.8845617888.

The spelling of 2509056 in words is "two million, five hundred nine thousand, fifty-six".