2506416 has 80 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 736000.

The previous prime is 2506411. The next prime is 2506421. The reversal of 2506416 is 6146052.

2506416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2506411) and next prime (2506421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2506411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24766 + ... + 24866.

2^2506416 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 2506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

2506416 is an abundant number, since it is smaller than the sum of its proper divisors (4778832).

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

2506416 is a wasteful number, since it uses less digits than its factorization.

2506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2506416 is about 1583.1664473453. The cubic root of 2506416 is about 135.8368863369.

It can be divided in two parts, 250 and 6416, that added together give a palindrome (6666).

The spelling of 2506416 in words is "two million, five hundred six thousand, four hundred sixteen".