2505516 has 24 divisors (see below), whose sum is σ = 6296304. Its totient is φ = 770880.

The previous prime is 2505499. The next prime is 2505527. The reversal of 2505516 is 6155052.

2505516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2505516² = 12555220852512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7875 + ... + 8186.

It is an arithmetic number, because the mean of its divisors is an integer number (262346).

2^2505516 is an apocalyptic number.

2505516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2505516 is an abundant number, since it is smaller than the sum of its proper divisors (3790788).

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

2505516 is a wasteful number, since it uses less digits than its factorization.

2505516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2505516 is about 1582.8821813388. The cubic root of 2505516 is about 135.8206256905.

The spelling of 2505516 in words is "two million, five hundred five thousand, five hundred sixteen".