2730004200 has 288 divisors, whose sum is σ = 11431143360. Its totient is φ = 567244800.

The previous prime is 2730004171. The next prime is 2730004201. The reversal of 2730004200 is 24000372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2730004201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128752 + ... + 148448.

It is an arithmetic number, because the mean of its divisors is an integer number (39691470).

Almost surely, 2^2730004200 is an apocalyptic number.

2730004200 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 2730004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715571680).

2730004200 is an abundant number, since it is smaller than the sum of its proper divisors (8701139160).

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

2730004200 is a wasteful number, since it uses less digits than its factorization.

2730004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2730004200 is about 52249.4421022847. The cubic root of 2730004200 is about 1397.6157035890.

Adding to 2730004200 its reverse (24000372), we get a palindrome (2754004572).

The spelling of 2730004200 in words is "two billion, seven hundred thirty million, four thousand, two hundred".