2820896 has 24 divisors (see below), whose sum is σ = 5981724. Its totient is φ = 1301760.

The previous prime is 2820889. The next prime is 2820899. The reversal of 2820896 is 6980282.

2820896 = T₂₂₉ + T₂₃₀ + ... + T₃₀₆.

It can be written as a sum of positive squares in 2 ways, for example, as 2676496 + 144400 = 1636^2 + 380^2 .

It is not an unprimeable number, because it can be changed into a prime (2820899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2975 + ... + 3806.

2^2820896 is an apocalyptic number.

2820896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2820896 is an abundant number, since it is smaller than the sum of its proper divisors (3160828).

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

2820896 is a wasteful number, since it uses less digits than its factorization.

2820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2820896 is about 1679.5523213047. The cubic root of 2820896 is about 141.2957259221.

The spelling of 2820896 in words is "two million, eight hundred twenty thousand, eight hundred ninety-six".