2428400 has 60 divisors (see below), whose sum is σ = 6296472. Its totient is φ = 894720.

The previous prime is 2428379. The next prime is 2428403. The reversal of 2428400 is 48242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4967 + ... + 5433.

2^2428400 is an apocalyptic number.

2428400 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 2428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148236).

2428400 is an abundant number, since it is smaller than the sum of its proper divisors (3868072).

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

2428400 is a wasteful number, since it uses less digits than its factorization.

2428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2428400 is about 1558.3324420675. The cubic root of 2428400 is about 134.4126287264.

The spelling of 2428400 in words is "two million, four hundred twenty-eight thousand, four hundred".