2653416 has 48 divisors (see below), whose sum is σ = 7265700. Its totient is φ = 874752.

The previous prime is 2653363. The next prime is 2653421. The reversal of 2653416 is 6143562.

2653416 is a `hidden beast` number, since 2 + 653 + 4 + 1 + 6 = 666.

2653416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2528100 + 125316 = 1590^2 + 354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2653416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9730 + ... + 9998.

2^2653416 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 2653416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632850).

2653416 is an abundant number, since it is smaller than the sum of its proper divisors (4612284).

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

2653416 is a wasteful number, since it uses less digits than its factorization.

2653416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2653416 is about 1628.9309377626. The cubic root of 2653416 is about 138.4421858992.

Adding to 2653416 its reverse (6143562), we get a palindrome (8796978).

The spelling of 2653416 in words is "two million, six hundred fifty-three thousand, four hundred sixteen".