2553216 has 64 divisors (see below), whose sum is σ = 6956400. Its totient is φ = 829440.

The previous prime is 2553209. The next prime is 2553217. The reversal of 2553216 is 6123552.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23370 + ... + 23478.

2^2553216 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 2553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478200).

2553216 is an abundant number, since it is smaller than the sum of its proper divisors (4403184).

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

2553216 is a wasteful number, since it uses less digits than its factorization.

2553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2553216 is about 1597.8785936359. The cubic root of 2553216 is about 136.6771305360.

Adding to 2553216 its reverse (6123552), we get a palindrome (8676768).

The spelling of 2553216 in words is "two million, five hundred fifty-three thousand, two hundred sixteen".