2648820 has 48 divisors (see below), whose sum is σ = 7495488. Its totient is φ = 698880.

The previous prime is 2648813. The next prime is 2648827. The reversal of 2648820 is 288462.

It is a happy number.

2648820 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2648813) and next prime (2648827).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692 + ... + 8028.

It is an arithmetic number, because the mean of its divisors is an integer number (156156).

2^2648820 is an apocalyptic number.

2648820 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 2648820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747744).

2648820 is an abundant number, since it is smaller than the sum of its proper divisors (4846668).

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

2648820 is a wasteful number, since it uses less digits than its factorization.

2648820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2648820 is about 1627.5195851356. The cubic root of 2648820 is about 138.3622074854.

The spelling of 2648820 in words is "two million, six hundred forty-eight thousand, eight hundred twenty".