2353820 has 96 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 709632.

The previous prime is 2353817. The next prime is 2353823. The reversal of 2353820 is 283532.

2353820 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2353817) and next prime (2353823).

It is a Harshad number since it is a multiple of its sum of digits (23).

2353820 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54719 + ... + 54761.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2^2353820 is an apocalyptic number.

2353820 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 2353820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2353820 is an abundant number, since it is smaller than the sum of its proper divisors (4032868).

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

2353820 is a wasteful number, since it uses less digits than its factorization.

2353820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2353820 is about 1534.2164123747. The cubic root of 2353820 is about 133.0222888380.

The spelling of 2353820 in words is "two million, three hundred fifty-three thousand, eight hundred twenty".