2505216 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 712704.

The previous prime is 2505193. The next prime is 2505227. The reversal of 2505216 is 6125052.

It is a super-2 number, since 2×2505216² = 12552214413312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 2505192 and 2505201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10636 + ... + 10868.

2^2505216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2505216 is an abundant number, since it is smaller than the sum of its proper divisors (5155008).

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

2505216 is an equidigital number, since it uses as much as digits as its factorization.

2505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2505216 is about 1582.7874146581. The cubic root of 2505216 is about 135.8152046097.

The spelling of 2505216 in words is "two million, five hundred five thousand, two hundred sixteen".