2482400 has 72 divisors (see below), whose sum is σ = 6327720. Its totient is φ = 949760.

The previous prime is 2482379. The next prime is 2482411. The reversal of 2482400 is 42842.

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 11 ways as a sum of consecutive naturals, for example, 23147 + ... + 23253.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^2482400 is an apocalyptic number.

2482400 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 2482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163860).

2482400 is an abundant number, since it is smaller than the sum of its proper divisors (3845320).

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

2482400 is a wasteful number, since it uses less digits than its factorization.

2482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

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

The square root of 2482400 is about 1575.5633912985. The cubic root of 2482400 is about 135.4016388320.

It can be divided in two parts, 2482 and 400, that added together give a palindrome (2882).

The spelling of 2482400 in words is "two million, four hundred eighty-two thousand, four hundred".