2701216 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 1117440.

The previous prime is 2701207. The next prime is 2701261. The reversal of 2701216 is 6121072.

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 = 2701193 and 2701202.

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, 6750 + ... + 7138.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

2^2701216 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 2701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2701216 is an abundant number, since it is smaller than the sum of its proper divisors (3588704).

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

2701216 is a wasteful number, since it uses less digits than its factorization.

2701216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2701216 is about 1643.5376478803. The cubic root of 2701216 is about 139.2685662118.

Adding to 2701216 its reverse (6121072), we get a palindrome (8822288).

It can be divided in two parts, 27012 and 16, that added together give a triangular number (27028 = T₂₃₂).

The spelling of 2701216 in words is "two million, seven hundred one thousand, two hundred sixteen".