2553320 has 64 divisors (see below), whose sum is σ = 7171200. Its totient is φ = 794880.

The previous prime is 2553301. The next prime is 2553337. The reversal of 2553320 is 233552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2553292 and 2553301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666 + ... + 3494.

It is an arithmetic number, because the mean of its divisors is an integer number (112050).

2^2553320 is an apocalyptic number.

2553320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585600).

2553320 is an abundant number, since it is smaller than the sum of its proper divisors (4617880).

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

2553320 is a wasteful number, since it uses less digits than its factorization.

2553320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2553320 is about 1597.9111364528. The cubic root of 2553320 is about 136.6789862647.

Adding to 2553320 its reverse (233552), we get a palindrome (2786872).

The spelling of 2553320 in words is "two million, five hundred fifty-three thousand, three hundred twenty".