2552616 has 72 divisors (see below), whose sum is σ = 7624890. Its totient is φ = 770880.

The previous prime is 2552611. The next prime is 2552621. The reversal of 2552616 is 6162552.

2552616 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 (2552611) and next prime (2552621).

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 980100 = 1254^2 + 990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2552616.

It is not an unprimeable number, because it can be changed into a prime (2552611) 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 17 ways as a sum of consecutive naturals, for example, 8566 + ... + 8858.

2^2552616 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 2552616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812445).

2552616 is an abundant number, since it is smaller than the sum of its proper divisors (5072274).

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

2552616 is a wasteful number, since it uses less digits than its factorization.

2552616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2552616 is about 1597.6908336721. The cubic root of 2552616 is about 136.6664234248. Note that the first 3 decimals are identical.

The spelling of 2552616 in words is "two million, five hundred fifty-two thousand, six hundred sixteen".