2510560 has 96 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 860160.

The previous prime is 2510551. The next prime is 2510567. The reversal of 2510560 is 650152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510567) 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, 35325 + ... + 35395.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2^2510560 is an apocalyptic number.

2510560 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 2510560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2510560 is an abundant number, since it is smaller than the sum of its proper divisors (4347872).

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

2510560 is a wasteful number, since it uses less digits than its factorization.

2510560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2510560 is about 1584.4746763518. The cubic root of 2510560 is about 135.9117073978.

It can be divided in two parts, 25 and 10560, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 2510560 in words is "two million, five hundred ten thousand, five hundred sixty".