2833920 has 160 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 737280.

The previous prime is 2833903. The next prime is 2833921. The reversal of 2833920 is 293382.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2833920² = 16062205132800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69100 + ... + 69140.

It is an arithmetic number, because the mean of its divisors is an integer number (64449).

2^2833920 is an apocalyptic number.

2833920 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 2833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

2833920 is an abundant number, since it is smaller than the sum of its proper divisors (7477920).

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

2833920 is an equidigital number, since it uses as much as digits as its factorization.

2833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2833920 is about 1683.4250800080. The cubic root of 2833920 is about 141.5128449593.

The spelling of 2833920 in words is "two million, eight hundred thirty-three thousand, nine hundred twenty".