2506560 has 112 divisors (see below), whose sum is σ = 9119616. Its totient is φ = 571392.

The previous prime is 2506549. The next prime is 2506561. The reversal of 2506560 is 656052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2506560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506561) 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, 6534 + ... + 6906.

2^2506560 is an apocalyptic number.

2506560 is a gapful number since it is divisible by the number (20) 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 2506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559808).

2506560 is an abundant number, since it is smaller than the sum of its proper divisors (6613056).

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

2506560 is a wasteful number, since it uses less digits than its factorization.

2506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2506560 is about 1583.2119251698. The cubic root of 2506560 is about 135.8394876791.

The spelling of 2506560 in words is "two million, five hundred six thousand, five hundred sixty".