2084352 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 653312.

The previous prime is 2084333. The next prime is 2084359. The reversal of 2084352 is 2534802.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁷ + 0 + 8 + 4² + 3 + 5⁹ + 2¹⁷ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084359) 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, 35299 + ... + 35357.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^2084352 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 2084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2084352 is an abundant number, since it is smaller than the sum of its proper divisors (3808128).

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

2084352 is an equidigital number, since it uses as much as digits as its factorization.

2084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2084352 is about 1443.7285063335. The cubic root of 2084352 is about 127.7390517104.

It can be divided in two parts, 208 and 4352, that added together give a triangular number (4560 = T₉₅).

The spelling of 2084352 in words is "two million, eighty-four thousand, three hundred fifty-two".