2628965 has 16 divisors (see below), whose sum is σ = 3378672. Its totient is φ = 1956864.

The previous prime is 2628953. The next prime is 2628979. The reversal of 2628965 is 5698262.

2628965 = T₂₀₅ + T₂₀₆ + ... + T₂₈₉.

It can be written as a sum of positive squares in 8 ways, for example, as 217156 + 2411809 = 466^2 + 1553^2 .

It is a cyclic number.

It is not a de Polignac number, because 2628965 - 2⁸ = 2628709 is a prime.

It is a super-2 number, since 2×2628965² = 13822913942450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13247 + ... + 13443.

It is an arithmetic number, because the mean of its divisors is an integer number (211167).

2^2628965 is an apocalyptic number.

It is an amenable number.

2628965 is a deficient number, since it is larger than the sum of its proper divisors (749707).

2628965 is a wasteful number, since it uses less digits than its factorization.

2628965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376.

The product of its digits is 51840, while the sum is 38.

The square root of 2628965 is about 1621.4083384515. The cubic root of 2628965 is about 138.0156286997.

The spelling of 2628965 in words is "two million, six hundred twenty-eight thousand, nine hundred sixty-five".