2724198400 has 288 divisors, whose sum is σ = 8433210240. Its totient is φ = 847872000.

The previous prime is 2724198353. The next prime is 2724198401. The reversal of 2724198400 is 48914272.

It is a self number, because there is not a number n which added to its sum of digits gives 2724198400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724198401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942055 + ... + 3942745.

It is an arithmetic number, because the mean of its divisors is an integer number (29281980).

Almost surely, 2^2724198400 is an apocalyptic number.

2724198400 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 2724198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216605120).

2724198400 is an abundant number, since it is smaller than the sum of its proper divisors (5709011840).

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

2724198400 is a wasteful number, since it uses less digits than its factorization.

2724198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2724198400 is about 52193.8540443221. The cubic root of 2724198400 is about 1396.6242477065.

The spelling of 2724198400 in words is "two billion, seven hundred twenty-four million, one hundred ninety-eight thousand, four hundred".