2730792960 has 768 divisors, whose sum is σ = 11887948800. Its totient is φ = 580386816.

The previous prime is 2730792949. The next prime is 2730792997. The reversal of 2730792960 is 692970372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901079 + ... + 32901161.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^2730792960 is an apocalyptic number.

2730792960 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 2730792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

2730792960 is an abundant number, since it is smaller than the sum of its proper divisors (9157155840).

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

2730792960 is a wasteful number, since it uses less digits than its factorization.

2730792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 2730792960 is about 52256.9895803423. The cubic root of 2730792960 is about 1397.7502915640.

The spelling of 2730792960 in words is "two billion, seven hundred thirty million, seven hundred ninety-two thousand, nine hundred sixty".