2825280 has 140 divisors (see below), whose sum is σ = 10142220. Its totient is φ = 746496.

The previous prime is 2825261. The next prime is 2825287. The reversal of 2825280 is 825282.

2825280 = T₁₇₁ + T₁₇₂ + ... + T₂₇₉.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 1327104 = 1224^2 + 1152^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2825287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25866 + ... + 25974.

2^2825280 is an apocalyptic number.

2825280 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 2825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071110).

2825280 is an abundant number, since it is smaller than the sum of its proper divisors (7316940).

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

2825280 is a wasteful number, since it uses less digits than its factorization.

2825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2825280 is about 1680.8569243097. The cubic root of 2825280 is about 141.3688846921.

The spelling of 2825280 in words is "two million, eight hundred twenty-five thousand, two hundred eighty".