2730084376320 has 864 divisors, whose sum is σ = 11412937267200. Its totient is φ = 616090116096.

The previous prime is 2730084376291. The next prime is 2730084376361. The reversal of 2730084376320 is 236734800372.

2730084376320 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 0 + 8 + 4 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 133771557 + ... + 133791963.

Almost surely, 2^{2730084376320} is an apocalyptic number.

2730084376320 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 2730084376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706468633600).

2730084376320 is an abundant number, since it is smaller than the sum of its proper divisors (8682852890880).

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

2730084376320 is a wasteful number, since it uses less digits than its factorization.

2730084376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20530 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2730084376320 in words is "two trillion, seven hundred thirty billion, eighty-four million, three hundred seventy-six thousand, three hundred twenty".