2552116 has 36 divisors (see below), whose sum is σ = 5386500. Its totient is φ = 1053696.

The previous prime is 2552113. The next prime is 2552117. The reversal of 2552116 is 6112552.

2552116 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 1449616 + 1102500 = 1204^2 + 1050^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552111) 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 11 ways as a sum of consecutive naturals, for example, 5460 + ... + 5908.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

2^2552116 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 2552116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693250).

2552116 is an abundant number, since it is smaller than the sum of its proper divisors (2834384).

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

2552116 is a wasteful number, since it uses less digits than its factorization.

2552116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 2552116 is about 1597.5343501784. The cubic root of 2552116 is about 136.6574995504.

Adding to 2552116 its reverse (6112552), we get a palindrome (8664668).

The spelling of 2552116 in words is "two million, five hundred fifty-two thousand, one hundred sixteen".