2730746304 has 448 divisors, whose sum is σ = 9688250880. Its totient is φ = 743178240.

The previous prime is 2730746303. The next prime is 2730746309. The reversal of 2730746304 is 4036470372.

It is a happy number.

2730746304 is a `hidden beast` number, since 2 + 7 + 307 + 46 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730746303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10625344 + ... + 10625600.

It is an arithmetic number, because the mean of its divisors is an integer number (21625560).

Almost surely, 2^2730746304 is an apocalyptic number.

2730746304 is a gapful number since it is divisible by the number (24) 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 2730746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844125440).

2730746304 is an abundant number, since it is smaller than the sum of its proper divisors (6957504576).

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

2730746304 is a wasteful number, since it uses less digits than its factorization.

2730746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 2730746304 is about 52256.5431692530. The cubic root of 2730746304 is about 1397.7423312621.

It can be divided in two parts, 273074 and 6304, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 2730746304 in words is "two billion, seven hundred thirty million, seven hundred forty-six thousand, three hundred four".