2724400 has 90 divisors (see below), whose sum is σ = 7668780. Its totient is φ = 927360.

The previous prime is 2724389. The next prime is 2724401. The reversal of 2724400 is 44272.

It is not an unprimeable number, because it can be changed into a prime (2724401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19531 + ... + 19669.

2^2724400 is an apocalyptic number.

2724400 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 2724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834390).

2724400 is an abundant number, since it is smaller than the sum of its proper divisors (4944380).

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

2724400 is a wasteful number, since it uses less digits than its factorization.

2724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2724400 is about 1650.5756571572. The cubic root of 2724400 is about 139.6658698514.

Adding to 2724400 its reverse (44272), we get a palindrome (2768672).

The spelling of 2724400 in words is "two million, seven hundred twenty-four thousand, four hundred".