2553616 has 20 divisors (see below), whose sum is σ = 5328652. Its totient is φ = 1178496.

The previous prime is 2553611. The next prime is 2553631. The reversal of 2553616 is 6163552.

2553616 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 291600 + 2262016 = 540^2 + 1504^2 .

It is not an unprimeable number, because it can be changed into a prime (2553611) 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 3 ways as a sum of consecutive naturals, for example, 5931 + ... + 6346.

2^2553616 is an apocalyptic number.

2553616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2553616 is an abundant number, since it is smaller than the sum of its proper divisors (2775036).

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

2553616 is a wasteful number, since it uses less digits than its factorization.

2553616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12292 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 2553616 is about 1598.0037546890. The cubic root of 2553616 is about 136.6842676782.

It can be divided in two parts, 25536 and 16, that added together give a palindrome (25552).

The spelling of 2553616 in words is "two million, five hundred fifty-three thousand, six hundred sixteen".