2511216 has 40 divisors (see below), whose sum is σ = 7209360. Its totient is φ = 836928.

The previous prime is 2511169. The next prime is 2511241. The reversal of 2511216 is 6121152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2475 + ... + 3338.

It is an arithmetic number, because the mean of its divisors is an integer number (180234).

2^2511216 is an apocalyptic number.

It is an amenable number.

2511216 is an abundant number, since it is smaller than the sum of its proper divisors (4698144).

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

2511216 is a wasteful number, since it uses less digits than its factorization.

2511216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5818 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2511216 is about 1584.6816715038. The cubic root of 2511216 is about 135.9235441083.

Adding to 2511216 its reverse (6121152), we get a palindrome (8632368).

The spelling of 2511216 in words is "two million, five hundred eleven thousand, two hundred sixteen".