2648000 has 56 divisors (see below), whose sum is σ = 6577584. Its totient is φ = 1056000.

The previous prime is 2647999. The next prime is 2648021. The reversal of 2648000 is 8462.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7835 + ... + 8165.

2^2648000 is an apocalyptic number.

2648000 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 2648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288792).

2648000 is an abundant number, since it is smaller than the sum of its proper divisors (3929584).

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

2648000 is an equidigital number, since it uses as much as digits as its factorization.

2648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2648000 is about 1627.2676485446. The cubic root of 2648000 is about 138.3479283322.

The spelling of 2648000 in words is "two million, six hundred forty-eight thousand".