2720436400 has 120 divisors (see below), whose sum is σ = 7183651824. Its totient is φ = 981811200.

The previous prime is 2720436349. The next prime is 2720436401. The reversal of 2720436400 is 46340272.

It is not an unprimeable number, because it can be changed into a prime (2720436401) 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 23 ways as a sum of consecutive naturals, for example, 600544 + ... + 605056.

Almost surely, 2^2720436400 is an apocalyptic number.

2720436400 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 2720436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591825912).

2720436400 is an abundant number, since it is smaller than the sum of its proper divisors (4463215424).

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

2720436400 is a wasteful number, since it uses less digits than its factorization.

2720436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2720436400 is about 52157.8028678356. The cubic root of 2720436400 is about 1395.9810590118.

Adding to 2720436400 its reverse (46340272), we get a palindrome (2766776672).

The spelling of 2720436400 in words is "two billion, seven hundred twenty million, four hundred thirty-six thousand, four hundred".