2631216 has 80 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 729600.

The previous prime is 2631203. The next prime is 2631217. The reversal of 2631216 is 6121362.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2631192 and 2631201.

It is not an unprimeable number, because it can be changed into a prime (2631217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13681 + ... + 13871.

2^2631216 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 2631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2631216 is an abundant number, since it is smaller than the sum of its proper divisors (5368272).

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

2631216 is a wasteful number, since it uses less digits than its factorization.

2631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2631216 is about 1622.1023395581. The cubic root of 2631216 is about 138.0550085258.

Adding to 2631216 its reverse (6121362), we get a palindrome (8752578).

The spelling of 2631216 in words is "two million, six hundred thirty-one thousand, two hundred sixteen".