2656940 has 48 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 890880.

The previous prime is 2656921. The next prime is 2656949. The reversal of 2656940 is 496562.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2656897 and 2656906.

It is not an unprimeable number, because it can be changed into a prime (2656949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2396 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

2^2656940 is an apocalyptic number.

2656940 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 2656940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2656940 is an abundant number, since it is smaller than the sum of its proper divisors (3905140).

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

2656940 is a wasteful number, since it uses less digits than its factorization.

2656940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2656940 is about 1630.0122698925. The cubic root of 2656940 is about 138.5034471115.

The spelling of 2656940 in words is "two million, six hundred fifty-six thousand, nine hundred forty".