2835280 has 80 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 944640.

The previous prime is 2835271. The next prime is 2835289. The reversal of 2835280 is 825382.

It is an interprime number because it is at equal distance from previous prime (2835271) and next prime (2835289).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835289) 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, 34119 + ... + 34201.

2^2835280 is an apocalyptic number.

2835280 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 2835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2835280 is an abundant number, since it is smaller than the sum of its proper divisors (4914224).

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

2835280 is a wasteful number, since it uses less digits than its factorization.

2835280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2835280 is about 1683.8289699373. The cubic root of 2835280 is about 141.5354787070.

The spelling of 2835280 in words is "two million, eight hundred thirty-five thousand, two hundred eighty".