2472800 has 72 divisors (see below), whose sum is σ = 6608952. Its totient is φ = 896000.

The previous prime is 2472797. The next prime is 2472809. The reversal of 2472800 is 82742.

2472800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472800² = 12229479680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8660 + ... + 8940.

It is an arithmetic number, because the mean of its divisors is an integer number (91791).

2^2472800 is an apocalyptic number.

2472800 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 2472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304476).

2472800 is an abundant number, since it is smaller than the sum of its proper divisors (4136152).

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

2472800 is a wasteful number, since it uses less digits than its factorization.

2472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2472800 is about 1572.5139109083. The cubic root of 2472800 is about 135.2268704689.

The spelling of 2472800 in words is "two million, four hundred seventy-two thousand, eight hundred".