2720400 has 60 divisors (see below), whose sum is σ = 8718192. Its totient is φ = 725120.

The previous prime is 2720387. The next prime is 2720411. The reversal of 2720400 is 40272.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2720400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 2333.

2^2720400 is an apocalyptic number.

2720400 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 2720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359096).

2720400 is an abundant number, since it is smaller than the sum of its proper divisors (5997792).

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

2720400 is a wasteful number, since it uses less digits than its factorization.

2720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2720400 is about 1649.3635136015. The cubic root of 2720400 is about 139.5974832813.

Adding to 2720400 its reverse (40272), we get a palindrome (2760672).

The spelling of 2720400 in words is "two million, seven hundred twenty thousand, four hundred".