2253520 has 40 divisors (see below), whose sum is σ = 5550984. Its totient is φ = 847872.

The previous prime is 2253499. The next prime is 2253521. The reversal of 2253520 is 253522.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 1948816 = 552^2 + 1396^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253521) 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, 532 + ... + 2188.

2^2253520 is an apocalyptic number.

2253520 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 2253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775492).

2253520 is an abundant number, since it is smaller than the sum of its proper divisors (3297464).

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

2253520 is a wasteful number, since it uses less digits than its factorization.

2253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

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

The square root of 2253520 is about 1501.1728747882. The cubic root of 2253520 is about 131.1053675120.

The spelling of 2253520 in words is "two million, two hundred fifty-three thousand, five hundred twenty".