2353520 has 80 divisors (see below), whose sum is σ = 6166272. Its totient is φ = 829440.

The previous prime is 2353517. The next prime is 2353529. The reversal of 2353520 is 253532.

2353520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2353492 and 2353501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32204 + ... + 32276.

2^2353520 is an apocalyptic number.

2353520 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 2353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083136).

2353520 is an abundant number, since it is smaller than the sum of its proper divisors (3812752).

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

2353520 is a wasteful number, since it uses less digits than its factorization.

2353520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

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

The square root of 2353520 is about 1534.1186394800. The cubic root of 2353520 is about 133.0166372614.

The spelling of 2353520 in words is "two million, three hundred fifty-three thousand, five hundred twenty".