2380832 has 24 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 1164352.

The previous prime is 2380811. The next prime is 2380837.

2380832 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2380832² = 11336722024448, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2² + 3² + 8² + 0 + 8⁶ + 3¹³ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2380837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

2^2380832 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 2380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2380832 is an abundant number, since it is smaller than the sum of its proper divisors (2409184).

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

2380832 is a wasteful number, since it uses less digits than its factorization.

2380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2380832 is about 1542.9944912410. The cubic root of 2380832 is about 133.5292010169.

The spelling of 2380832 in words is "two million, three hundred eighty thousand, eight hundred thirty-two".