2600416 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 953856.

The previous prime is 2600407. The next prime is 2600417. The reversal of 2600416 is 6140062.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2600393 and 2600402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2600417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55305 + ... + 55351.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2^2600416 is an apocalyptic number.

2600416 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 2600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2600416 is an abundant number, since it is smaller than the sum of its proper divisors (4173344).

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

2600416 is a wasteful number, since it uses less digits than its factorization.

2600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2600416 is about 1612.5805406243. The cubic root of 2600416 is about 137.5142200169.

Adding to 2600416 its reverse (6140062), we get a palindrome (8740478).

It can be divided in two parts, 2600 and 416, that multiplied together give a square (1081600 = 1040²).

The spelling of 2600416 in words is "two million, six hundred thousand, four hundred sixteen".