2353792 has 64 divisors (see below), whose sum is σ = 5581440. Its totient is φ = 967680.

The previous prime is 2353787. The next prime is 2353801. The reversal of 2353792 is 2973532.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33117 + ... + 33187.

It is an arithmetic number, because the mean of its divisors is an integer number (87210).

2^2353792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790720).

2353792 is an abundant number, since it is smaller than the sum of its proper divisors (3227648).

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

2353792 is an equidigital number, since it uses as much as digits as its factorization.

2353792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 2353792 is about 1534.2072871682. The cubic root of 2353792 is about 133.0217613779.

The spelling of 2353792 in words is "two million, three hundred fifty-three thousand, seven hundred ninety-two".