2730349600 has 144 divisors (see below), whose sum is σ = 7699569696. Its totient is φ = 934400000.

The previous prime is 2730349579. The next prime is 2730349649. The reversal of 2730349600 is 69430372.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140475 + ... + 158725.

It is an arithmetic number, because the mean of its divisors is an integer number (53469234).

Almost surely, 2^2730349600 is an apocalyptic number.

2730349600 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 2730349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849784848).

2730349600 is an abundant number, since it is smaller than the sum of its proper divisors (4969220096).

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

2730349600 is a wasteful number, since it uses less digits than its factorization.

2730349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18299 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 2730349600 is about 52252.7472961949. The cubic root of 2730349600 is about 1397.6746431939.

Adding to 2730349600 its reverse (69430372), we get a palindrome (2799779972).

The spelling of 2730349600 in words is "two billion, seven hundred thirty million, three hundred forty-nine thousand, six hundred".