2468800 has 42 divisors (see below), whose sum is σ = 6078728. Its totient is φ = 986880.

The previous prime is 2468789. The next prime is 2468801. The reversal of 2468800 is 88642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 829 + ... + 2371.

2^2468800 is an apocalyptic number.

2468800 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 2468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039364).

2468800 is an abundant number, since it is smaller than the sum of its proper divisors (3609928).

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

2468800 is a wasteful number, since it uses less digits than its factorization.

2468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1550 counting only the distinct ones).

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

The square root of 2468800 is about 1571.2415473122. The cubic root of 2468800 is about 135.1539168129.

The spelling of 2468800 in words is "two million, four hundred sixty-eight thousand, eight hundred".