2648800 has 144 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 806400.

The previous prime is 2648761. The next prime is 2648801. The reversal of 2648800 is 88462.

It is a super-2 number, since 2×2648800² = 14032282880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61579 + ... + 61621.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2^2648800 is an apocalyptic number.

2648800 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 2648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

2648800 is an abundant number, since it is smaller than the sum of its proper divisors (5600672).

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

2648800 is a wasteful number, since it uses less digits than its factorization.

2648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2648800 is about 1627.5134408047. The cubic root of 2648800 is about 138.3618592484.

The spelling of 2648800 in words is "two million, six hundred forty-eight thousand, eight hundred".