2553120 has 120 divisors (see below), whose sum is σ = 9056124. Its totient is φ = 677376.

The previous prime is 2553119. The next prime is 2553139. The reversal of 2553120 is 213552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 156816 = 1548^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2553093 and 2553102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12862 + ... + 13058.

2^2553120 is an apocalyptic number.

2553120 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 2553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528062).

2553120 is an abundant number, since it is smaller than the sum of its proper divisors (6503004).

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

2553120 is a wasteful number, since it uses less digits than its factorization.

2553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2553120 is about 1597.8485535244. The cubic root of 2553120 is about 136.6754175109.

Adding to 2553120 its reverse (213552), we get a palindrome (2766672).

It can be divided in two parts, 255 and 3120, that added together give a cube (3375 = 15³).

The spelling of 2553120 in words is "two million, five hundred fifty-three thousand, one hundred twenty".