2552320 has 40 divisors (see below), whose sum is σ = 6125724. Its totient is φ = 1019904.

The previous prime is 2552317. The next prime is 2552357. The reversal of 2552320 is 232552.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 43264 = 1584^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2062 + ... + 3058.

2^2552320 is an apocalyptic number.

2552320 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 2552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062862).

2552320 is an abundant number, since it is smaller than the sum of its proper divisors (3573404).

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

2552320 is an frugal number, since it uses more digits than its factorization.

2552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2552320 is about 1597.5981972949. The cubic root of 2552320 is about 136.6611406319.

Adding to 2552320 its reverse (232552), we get a palindrome (2784872).

The spelling of 2552320 in words is "two million, five hundred fifty-two thousand, three hundred twenty".