2678416 has 40 divisors (see below), whose sum is σ = 5694080. Its totient is φ = 1213056.

The previous prime is 2678399. The next prime is 2678437. The reversal of 2678416 is 6148762.

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, 16351 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

2^2678416 is an apocalyptic number.

2678416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847040).

2678416 is an abundant number, since it is smaller than the sum of its proper divisors (3015664).

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

2678416 is a wasteful number, since it uses less digits than its factorization.

2678416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 2678416 is about 1636.5866918682. The cubic root of 2678416 is about 138.8756198049.

The spelling of 2678416 in words is "two million, six hundred seventy-eight thousand, four hundred sixteen".