2730518138880 has 936 divisors, whose sum is σ = 11236058900352. Its totient is φ = 623903440896.

The previous prime is 2730518138861. The next prime is 2730518138923. The reversal of 2730518138880 is 888318150372.

2730518138880 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 5 + 181 + 388 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940583509 + ... + 940586411.

It is an arithmetic number, because the mean of its divisors is an integer number (12004336432).

Almost surely, 2^{2730518138880} is an apocalyptic number.

2730518138880 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 2730518138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618029450176).

2730518138880 is an abundant number, since it is smaller than the sum of its proper divisors (8505540761472).

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

2730518138880 is an frugal number, since it uses more digits than its factorization.

2730518138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2730518138880 in words is "two trillion, seven hundred thirty billion, five hundred eighteen million, one hundred thirty-eight thousand, eight hundred eighty".