2825120 has 24 divisors (see below), whose sum is σ = 6674724. Its totient is φ = 1129984.

The previous prime is 2825117. The next prime is 2825131. The reversal of 2825120 is 215282.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 226576 = 1612^2 + 476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2825092 and 2825101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8669 + ... + 8988.

2^2825120 is an apocalyptic number.

2825120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825120 is an abundant number, since it is smaller than the sum of its proper divisors (3849604).

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

2825120 is a wasteful number, since it uses less digits than its factorization.

2825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17672 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2825120 is about 1680.8093288651. The cubic root of 2825120 is about 141.3662159951.

The spelling of 2825120 in words is "two million, eight hundred twenty-five thousand, one hundred twenty".