2512580 has 48 divisors (see below), whose sum is σ = 6120576. Its totient is φ = 848640.

The previous prime is 2512561. The next prime is 2512597. The reversal of 2512580 is 852152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18272 + ... + 18408.

It is an arithmetic number, because the mean of its divisors is an integer number (127512).

2^2512580 is an apocalyptic number.

2512580 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 2512580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060288).

2512580 is an abundant number, since it is smaller than the sum of its proper divisors (3607996).

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

2512580 is a wasteful number, since it uses less digits than its factorization.

2512580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 2512580 is about 1585.1119834258. Note that the first 3 decimals coincide. The cubic root of 2512580 is about 135.9481492076.

The spelling of 2512580 in words is "two million, five hundred twelve thousand, five hundred eighty".