2656420 has 48 divisors (see below), whose sum is σ = 6371568. Its totient is φ = 921600.

The previous prime is 2656417. The next prime is 2656427. The reversal of 2656420 is 246562.

It can be written as a sum of positive squares in 8 ways, for example, as 12544 + 2643876 = 112^2 + 1626^2 .

It is not an unprimeable number, because it can be changed into a prime (2656427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4120 + ... + 4720.

It is an arithmetic number, because the mean of its divisors is an integer number (132741).

2^2656420 is an apocalyptic number.

2656420 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 2656420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185784).

2656420 is an abundant number, since it is smaller than the sum of its proper divisors (3715148).

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

2656420 is a wasteful number, since it uses less digits than its factorization.

2656420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2656420 is about 1629.8527540855. The cubic root of 2656420 is about 138.4944108402.

The spelling of 2656420 in words is "two million, six hundred fifty-six thousand, four hundred twenty".