2541216 has 48 divisors (see below), whose sum is σ = 6761664. Its totient is φ = 835584.

The previous prime is 2541173. The next prime is 2541229. The reversal of 2541216 is 6121452.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

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 = 2541192 and 2541201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9760 + ... + 10016.

It is an arithmetic number, because the mean of its divisors is an integer number (140868).

2^2541216 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 2541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380832).

2541216 is an abundant number, since it is smaller than the sum of its proper divisors (4220448).

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

2541216 is a wasteful number, since it uses less digits than its factorization.

2541216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2541216 is about 1594.1191925324. The cubic root of 2541216 is about 136.4626687484.

Adding to 2541216 its reverse (6121452), we get a palindrome (8662668).

The spelling of 2541216 in words is "two million, five hundred forty-one thousand, two hundred sixteen".