2628405 has 24 divisors (see below), whose sum is σ = 4907448. Its totient is φ = 1293696.

The previous prime is 2628401. The next prime is 2628407. The reversal of 2628405 is 5048262.

It can be written as a sum of positive squares in 4 ways, for example, as 580644 + 2047761 = 762^2 + 1431^2 .

It is not a de Polignac number, because 2628405 - 2² = 2628401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (204477).

2^2628405 is an apocalyptic number.

It is an amenable number.

2628405 is a deficient number, since it is larger than the sum of its proper divisors (2279043).

2628405 is a wasteful number, since it uses less digits than its factorization.

2628405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2628405 is about 1621.2356398747. The cubic root of 2628405 is about 138.0058283613.

The spelling of 2628405 in words is "two million, six hundred twenty-eight thousand, four hundred five".