2627416 has 32 divisors (see below), whose sum is σ = 5461200. Its totient is φ = 1175040.

The previous prime is 2627413. The next prime is 2627419. The reversal of 2627416 is 6147262.

It is an interprime number because it is at equal distance from previous prime (2627413) and next prime (2627419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220 + ... + 6628.

2^2627416 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 2627416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730600).

2627416 is an abundant number, since it is smaller than the sum of its proper divisors (2833784).

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

2627416 is a wasteful number, since it uses less digits than its factorization.

2627416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2627416 is about 1620.9305969103. The cubic root of 2627416 is about 137.9885168629.

The spelling of 2627416 in words is "two million, six hundred twenty-seven thousand, four hundred sixteen".