2803120 has 40 divisors (see below), whose sum is σ = 6700464. Its totient is φ = 1089792.

The previous prime is 2803109. The next prime is 2803121. The reversal of 2803120 is 213082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2803094 and 2803103.

It is not an unprimeable number, because it can be changed into a prime (2803121) 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, 2487 + ... + 3433.

2^2803120 is an apocalyptic number.

2803120 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 2803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350232).

2803120 is an abundant number, since it is smaller than the sum of its proper divisors (3897344).

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

2803120 is a wasteful number, since it uses less digits than its factorization.

2803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2803120 is about 1674.2520718219. The cubic root of 2803120 is about 140.9983065705.

The spelling of 2803120 in words is "two million, eight hundred three thousand, one hundred twenty".