2428800 has 192 divisors, whose sum is σ = 9106560. Its totient is φ = 563200.

The previous prime is 2428787. The next prime is 2428859. The reversal of 2428800 is 88242.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105589 + ... + 105611.

It is an arithmetic number, because the mean of its divisors is an integer number (47430).

2^2428800 is an apocalyptic number.

2428800 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 2428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

2428800 is an abundant number, since it is smaller than the sum of its proper divisors (6677760).

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

2428800 is a wasteful number, since it uses less digits than its factorization.

2428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2428800 is about 1558.4607791023. The cubic root of 2428800 is about 134.4200083590.

The spelling of 2428800 in words is "two million, four hundred twenty-eight thousand, eight hundred".