2730512695680 has 1536 divisors, whose sum is σ = 12310480465920. Its totient is φ = 561812889600.

The previous prime is 2730512695657. The next prime is 2730512695717. The reversal of 2730512695680 is 865962150372.

2730512695680 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 5 + 12 + 69 + 568 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 1281328215 + ... + 1281330345.

It is an arithmetic number, because the mean of its divisors is an integer number (8014635720).

Almost surely, 2^{2730512695680} is an apocalyptic number.

2730512695680 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 2730512695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155240232960).

2730512695680 is an abundant number, since it is smaller than the sum of its proper divisors (9579967770240).

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

2730512695680 is a wasteful number, since it uses less digits than its factorization.

2730512695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2730512695680 in words is "two trillion, seven hundred thirty billion, five hundred twelve million, six hundred ninety-five thousand, six hundred eighty".