2833380 has 144 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 673920.

The previous prime is 2833343. The next prime is 2833381. The reversal of 2833380 is 833382.

2833380 is a `hidden beast` number, since 283 + 3 + 380 = 666.

It is a super-3 number, since 3×2833380³ = 68239482833311416000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2833381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53434 + ... + 53486.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2^2833380 is an apocalyptic number.

2833380 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 2833380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2833380 is an abundant number, since it is smaller than the sum of its proper divisors (7073244).

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

2833380 is a wasteful number, since it uses less digits than its factorization.

2833380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2833380 is about 1683.2646850689. The cubic root of 2833380 is about 141.5038560216.

It can be divided in two parts, 283 and 3380, that added together give a palindrome (3663).

The spelling of 2833380 in words is "two million, eight hundred thirty-three thousand, three hundred eighty".