2700947128320 has 1536 divisors, whose sum is σ = 11557580636160. Its totient is φ = 569911541760.

The previous prime is 2700947128301. The next prime is 2700947128357. The reversal of 2700947128320 is 238217490072.

2700947128320 is a `hidden beast` number, since 270 + 0 + 9 + 47 + 12 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

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, 7359528777 + ... + 7359529143.

It is an arithmetic number, because the mean of its divisors is an integer number (7524466560).

Almost surely, 2^{2700947128320} is an apocalyptic number.

2700947128320 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 2700947128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778790318080).

2700947128320 is an abundant number, since it is smaller than the sum of its proper divisors (8856633507840).

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

2700947128320 is a wasteful number, since it uses less digits than its factorization.

2700947128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2700947128320 in words is "two trillion, seven hundred billion, nine hundred forty-seven million, one hundred twenty-eight thousand, three hundred twenty".