2826640 has 40 divisors (see below), whose sum is σ = 6662520. Its totient is φ = 1115136.

The previous prime is 2826623. The next prime is 2826643. The reversal of 2826640 is 466282.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 2663424 = 404^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2826599 and 2826608.

It is not an unprimeable number, because it can be changed into a prime (2826643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6922 + ... + 7318.

It is an arithmetic number, because the mean of its divisors is an integer number (166563).

2^2826640 is an apocalyptic number.

2826640 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 2826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331260).

2826640 is an abundant number, since it is smaller than the sum of its proper divisors (3835880).

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

2826640 is a wasteful number, since it uses less digits than its factorization.

2826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2826640 is about 1681.2614311879. The cubic root of 2826640 is about 141.3915645494.

The spelling of 2826640 in words is "two million, eight hundred twenty-six thousand, six hundred forty".