2730379600 has 120 divisors (see below), whose sum is σ = 7229210912. Its totient is φ = 984614400.

The previous prime is 2730379573. The next prime is 2730379607. The reversal of 2730379600 is 69730372.

It is a self number, because there is not a number n which added to its sum of digits gives 2730379600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730379607) 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, 217495 + ... + 229705.

Almost surely, 2^2730379600 is an apocalyptic number.

2730379600 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 2730379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614605456).

2730379600 is an abundant number, since it is smaller than the sum of its proper divisors (4498831312).

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

2730379600 is a wasteful number, since it uses less digits than its factorization.

2730379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 2730379600 is about 52253.0343616521. The cubic root of 2730379600 is about 1397.6797622069.

The spelling of 2730379600 in words is "two billion, seven hundred thirty million, three hundred seventy-nine thousand, six hundred".