2825760 has 144 divisors (see below), whose sum is σ = 10535616. Its totient is φ = 623616.

The previous prime is 2825759. The next prime is 2825773. The reversal of 2825760 is 675282.

It is a Cunningham number, because it is equal to 41⁴-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97426 + ... + 97454.

It is an arithmetic number, because the mean of its divisors is an integer number (73164).

2^2825760 is an apocalyptic number.

2825760 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 2825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267808).

2825760 is an abundant number, since it is smaller than the sum of its proper divisors (7709856).

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

2825760 is a wasteful number, since it uses less digits than its factorization.

2825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2825760 is about 1680.9997025580. Note that the first 3 decimals coincide. The cubic root of 2825760 is about 141.3768901785.

The spelling of 2825760 in words is "two million, eight hundred twenty-five thousand, seven hundred sixty".