2611416 has 32 divisors (see below), whose sum is σ = 6654960. Its totient is φ = 853632.

The previous prime is 2611403. The next prime is 2611439. The reversal of 2611416 is 6141162.

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 = 2611392 and 2611401.

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, 246 + ... + 2298.

2^2611416 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 2611416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327480).

2611416 is an abundant number, since it is smaller than the sum of its proper divisors (4043544).

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

2611416 is a wasteful number, since it uses less digits than its factorization.

2611416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2111 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2611416 is about 1615.9876237150. The cubic root of 2611416 is about 137.7078465401.

Adding to 2611416 its reverse (6141162), we get a palindrome (8752578).

The spelling of 2611416 in words is "two million, six hundred eleven thousand, four hundred sixteen".